
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
An amount needs to be divided among $A, B, C,$ and $D$ such that the ratios of their shares are $3:4:5:6$. However, the amount was divided in the ratio $3:4:6:7$, resulting in $C$ and $D$ together receiving 1400 crowns more than they should have. What was the total amount to be divided?

Present the answer in LaTex format: \boxed{Your answer}
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