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Finding the Fourth Proportional to 5,500.62, 7,591.50 and 3,142.98

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Solution

The fourth proportional to 5,500.62, 7,591.50 and 3,142.98 is: 4,337.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,500.62 : 7,591.50 = 3,142.98 : x
  2. Step 2: Convert to fraction form
    5,500.62/7,591.50 = 3,142.98/x
  3. Step 3: Cross multiply
    5,500.62x = 7,591.50 × 3,142.98
  4. Step 4: Simplify right side
    5,500.62x = 23,859,932.67
  5. Step 5: Solve for x
    x = 23,859,932.67/5,500.62
  6. Step 6: Final answer
    x = 4,337.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.