5824, 5242, ?, 4247, 3823

by

4467
4718
4856
5164

The correct answer is $\boxed{\text{A. }4467}$.

The sequence is a simple subtraction of $5824-5242=582$, $5242-4718=524$, $4718-4856=-138$, and $4856-5164=-308$. Therefore,

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the next number in the sequence is $5824-582=\boxed{4467}$.

Option B is incorrect because $5242-4718=524$, not $5242-4718=582$.

Option C is incorrect because $4718-4856=-138$, not $4718-4856=524$.

Option D is incorrect because $4856-5164=-308$, not $4856-5164=524$.

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