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Finding the Fourth Proportional to 5,229.92, 7,217.64 and 3,458.48

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Solution

The fourth proportional to 5,229.92, 7,217.64 and 3,458.48 is: 4,772.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229.92 : 7,217.64 = 3,458.48 : x
  2. Step 2: Convert to fraction form
    5,229.92/7,217.64 = 3,458.48/x
  3. Step 3: Cross multiply
    5,229.92x = 7,217.64 × 3,458.48
  4. Step 4: Simplify right side
    5,229.92x = 24,962,063.59
  5. Step 5: Solve for x
    x = 24,962,063.59/5,229.92
  6. Step 6: Final answer
    x = 4,772.93

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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.