To represent the number 5037 in Roman numerals using the extended system, where a bar over a numeral indicates multiplication by 1000, we break it down as follows:

1. 5000: Represented as ‘V̅’ (where ‘V̅’ signifies 5000).
2. 30: Represented as ‘XXX’.
3. 7: Represented as ‘VII’.

Combining these, 5037 in extended Roman numerals is written as: V̅XXXVII.

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