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Finding the Fourth Proportional to 3,463.35, 5,192.92 and 1,614.87

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Solution

The fourth proportional to 3,463.35, 5,192.92 and 1,614.87 is: 2,421.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.35 : 5,192.92 = 1,614.87 : x
  2. Step 2: Convert to fraction form
    3,463.35/5,192.92 = 1,614.87/x
  3. Step 3: Cross multiply
    3,463.35x = 5,192.92 × 1,614.87
  4. Step 4: Simplify right side
    3,463.35x = 8,385,892.74
  5. Step 5: Solve for x
    x = 8,385,892.74/3,463.35
  6. Step 6: Final answer
    x = 2,421.33

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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.