4*. Решите пропорцию $$3\frac{1}{2}x:7\frac{2}{3}=2\frac{2}{23}:1\frac{1}{7}$$.

$$3\frac{1}{2}x:7\frac{2}{3}=2\frac{2}{23}:1\frac{1}{7}$$

$$ \frac{3\frac{1}{2}x}{7\frac{2}{3}} = \frac{2\frac{2}{23}}{1\frac{1}{7}} $$

$$ \frac{\frac{7}{2}x}{\frac{23}{3}} = \frac{\frac{48}{23}}{\frac{8}{7}} $$

$$ \frac{7}{2}x \cdot \frac{3}{23} = \frac{48}{23} \cdot \frac{7}{8} $$

$$ \frac{21}{46}x = \frac{336}{184} $$

$$ x = \frac{336}{184} : \frac{21}{46} $$

$$ x = \frac{336}{184} \cdot \frac{46}{21} $$

$$ x = \frac{336 \cdot 46}{184 \cdot 21} $$

$$ x = \frac{15456}{3864} $$

$$ x = 4 $$

Ответ: 4