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Finding the Fourth Proportional to 3,424.20, 4,717.20 and 3,257.44

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Solution

The fourth proportional to 3,424.20, 4,717.20 and 3,257.44 is: 4,487.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.20 : 4,717.20 = 3,257.44 : x
  2. Step 2: Convert to fraction form
    3,424.20/4,717.20 = 3,257.44/x
  3. Step 3: Cross multiply
    3,424.20x = 4,717.20 × 3,257.44
  4. Step 4: Simplify right side
    3,424.20x = 15,365,995.97
  5. Step 5: Solve for x
    x = 15,365,995.97/3,424.20
  6. Step 6: Final answer
    x = 4,487.47

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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.