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Finding the Fourth Proportional to 5,126.49, 7,681.10 and 3,737.88

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Solution

The fourth proportional to 5,126.49, 7,681.10 and 3,737.88 is: 5,600.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,126.49 : 7,681.10 = 3,737.88 : x
  2. Step 2: Convert to fraction form
    5,126.49/7,681.10 = 3,737.88/x
  3. Step 3: Cross multiply
    5,126.49x = 7,681.10 × 3,737.88
  4. Step 4: Simplify right side
    5,126.49x = 28,711,011.38
  5. Step 5: Solve for x
    x = 28,711,011.38/5,126.49
  6. Step 6: Final answer
    x = 5,600.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.