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Finding the Fourth Proportional to 3,462.46, 5,193.69 and 1,614.86

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Solution

The fourth proportional to 3,462.46, 5,193.69 and 1,614.86 is: 2,422.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.46 : 5,193.69 = 1,614.86 : x
  2. Step 2: Convert to fraction form
    3,462.46/5,193.69 = 1,614.86/x
  3. Step 3: Cross multiply
    3,462.46x = 5,193.69 × 1,614.86
  4. Step 4: Simplify right side
    3,462.46x = 8,387,098.90
  5. Step 5: Solve for x
    x = 8,387,098.90/3,462.46
  6. Step 6: Final answer
    x = 2,422.30

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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.