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Finding the Fourth Proportional to 5,711.67, 8,546.64 and 3,372.78

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Solution

The fourth proportional to 5,711.67, 8,546.64 and 3,372.78 is: 5,046.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.67 : 8,546.64 = 3,372.78 : x
  2. Step 2: Convert to fraction form
    5,711.67/8,546.64 = 3,372.78/x
  3. Step 3: Cross multiply
    5,711.67x = 8,546.64 × 3,372.78
  4. Step 4: Simplify right side
    5,711.67x = 28,825,936.46
  5. Step 5: Solve for x
    x = 28,825,936.46/5,711.67
  6. Step 6: Final answer
    x = 5,046.85

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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.