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Finding the Fourth Proportional to 4,472.92, 6,709.24 and 2,134.60

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Solution

The fourth proportional to 4,472.92, 6,709.24 and 2,134.60 is: 3,201.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.92 : 6,709.24 = 2,134.60 : x
  2. Step 2: Convert to fraction form
    4,472.92/6,709.24 = 2,134.60/x
  3. Step 3: Cross multiply
    4,472.92x = 6,709.24 × 2,134.60
  4. Step 4: Simplify right side
    4,472.92x = 14,321,543.70
  5. Step 5: Solve for x
    x = 14,321,543.70/4,472.92
  6. Step 6: Final answer
    x = 3,201.83

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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.