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Finding the Fourth Proportional to 5,663.48, 7,814.63 and 3,425.24

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Solution

The fourth proportional to 5,663.48, 7,814.63 and 3,425.24 is: 4,726.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.48 : 7,814.63 = 3,425.24 : x
  2. Step 2: Convert to fraction form
    5,663.48/7,814.63 = 3,425.24/x
  3. Step 3: Cross multiply
    5,663.48x = 7,814.63 × 3,425.24
  4. Step 4: Simplify right side
    5,663.48x = 26,767,011.36
  5. Step 5: Solve for x
    x = 26,767,011.36/5,663.48
  6. Step 6: Final answer
    x = 4,726.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.