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Finding the Fourth Proportional to 5,238.62, 7,229.50 and 3,470.80

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Solution

The fourth proportional to 5,238.62, 7,229.50 and 3,470.80 is: 4,789.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.62 : 7,229.50 = 3,470.80 : x
  2. Step 2: Convert to fraction form
    5,238.62/7,229.50 = 3,470.80/x
  3. Step 3: Cross multiply
    5,238.62x = 7,229.50 × 3,470.80
  4. Step 4: Simplify right side
    5,238.62x = 25,092,148.60
  5. Step 5: Solve for x
    x = 25,092,148.60/5,238.62
  6. Step 6: Final answer
    x = 4,789.84

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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.