A garment factory produced 4500 sets of sportswear in February, which was less than that in January \begin{array}\\1\\\overline{10}\end{array}. How many sets of sportswear were produced in January?
某服装厂二月份生产运动服4500套，比一月份少生产\begin{array}\\1\\\overline{10}\end{array}，一月份生产运动服多少套？
<gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>

<gadget id="calculator">1 - (1/10)</gadget>
<output>9/10 = around 0.9</output>

<gadget id="calculator">4_500 / (9/10)</gadget>
<output>5_000</output>

<result>5_000</result>