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Finding the Fourth Proportional to 5,238.62, 7,231.22 and 3,470.79

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Solution

The fourth proportional to 5,238.62, 7,231.22 and 3,470.79 is: 4,790.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.62 : 7,231.22 = 3,470.79 : x
  2. Step 2: Convert to fraction form
    5,238.62/7,231.22 = 3,470.79/x
  3. Step 3: Cross multiply
    5,238.62x = 7,231.22 × 3,470.79
  4. Step 4: Simplify right side
    5,238.62x = 25,098,046.06
  5. Step 5: Solve for x
    x = 25,098,046.06/5,238.62
  6. Step 6: Final answer
    x = 4,790.97

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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.