diff --git a/litellm/utils.py b/litellm/utils.py
index 88e395233..9ca2cdff0 100644
--- a/litellm/utils.py
+++ b/litellm/utils.py
@@ -4161,8 +4161,25 @@ def cost_per_token(
                 model_with_provider_and_region in model_cost_ref
             ):  # use region based pricing, if it's available
                 model_with_provider = model_with_provider_and_region
-    if model_with_provider in model_cost_ref:
+
+    model_without_prefix = model
+    model_parts = model.split("/")
+    if len(model_parts) > 1:
+        model_without_prefix = model_parts[1]
+    else:
+        model_without_prefix = model
+
+    if model in model_cost_ref:  # Option 1. use model passed, model="gpt-4"
+        model = model
+    elif (
+        model_with_provider in model_cost_ref
+    ):  # Option 2. use model with provider, model = "openai/gpt-4"
         model = model_with_provider
+    elif (
+        model_without_prefix in model_cost_ref
+    ):  # Option 3. if user passed model="bedrock/anthropic.claude-3", use model="anthropic.claude-3"
+        model = model_without_prefix
+
     # see this https://learn.microsoft.com/en-us/azure/ai-services/openai/concepts/models
     print_verbose(f"Looking up model={model} in model_cost_map")
     if model in model_cost_ref:
@@ -9423,7 +9440,9 @@ def get_secret(
         else:
             secret = os.environ.get(secret_name)
             try:
-                secret_value_as_bool = ast.literal_eval(secret) if secret is not None else None
+                secret_value_as_bool = (
+                    ast.literal_eval(secret) if secret is not None else None
+                )
                 if isinstance(secret_value_as_bool, bool):
                     return secret_value_as_bool
                 else: