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Finding the Fourth Proportional to 4,766.53, 7,134.24 and 4,311.85

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Solution

The fourth proportional to 4,766.53, 7,134.24 and 4,311.85 is: 6,453.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.53 : 7,134.24 = 4,311.85 : x
  2. Step 2: Convert to fraction form
    4,766.53/7,134.24 = 4,311.85/x
  3. Step 3: Cross multiply
    4,766.53x = 7,134.24 × 4,311.85
  4. Step 4: Simplify right side
    4,766.53x = 30,761,772.74
  5. Step 5: Solve for x
    x = 30,761,772.74/4,766.53
  6. Step 6: Final answer
    x = 6,453.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.