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Finding the Fourth Proportional to 3,897.68, 5,847.29 and 1,432.52

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Solution

The fourth proportional to 3,897.68, 5,847.29 and 1,432.52 is: 2,149.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.68 : 5,847.29 = 1,432.52 : x
  2. Step 2: Convert to fraction form
    3,897.68/5,847.29 = 1,432.52/x
  3. Step 3: Cross multiply
    3,897.68x = 5,847.29 × 1,432.52
  4. Step 4: Simplify right side
    3,897.68x = 8,376,323.47
  5. Step 5: Solve for x
    x = 8,376,323.47/3,897.68
  6. Step 6: Final answer
    x = 2,149.06

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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.