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Finding the Fourth Proportional to 3,487.82, 5,229.98 and 1,147.55

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Solution

The fourth proportional to 3,487.82, 5,229.98 and 1,147.55 is: 1,720.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.82 : 5,229.98 = 1,147.55 : x
  2. Step 2: Convert to fraction form
    3,487.82/5,229.98 = 1,147.55/x
  3. Step 3: Cross multiply
    3,487.82x = 5,229.98 × 1,147.55
  4. Step 4: Simplify right side
    3,487.82x = 6,001,689.06
  5. Step 5: Solve for x
    x = 6,001,689.06/3,487.82
  6. Step 6: Final answer
    x = 1,720.76

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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.