If \(\frac{{4a\; + \;7b}}{{4c\; +\; 7d}} = \frac{{4a\; - \;7b}}{{4c\; -\; 7d}}\), then which one of the following is correct?

1
\(\frac{a}{b} = \frac{c}{d}\)
2
\(\frac{a}{b} = \frac{c}{b}\)
3
\(\frac{a}{b} = \frac{d}{c}\)
4
\(\frac{{4a}}{{7b}} = \frac{c}{d}\)

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