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Finding the Fourth Proportional to 3,906.48, 5,374.56 and 3,410.28

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Solution

The fourth proportional to 3,906.48, 5,374.56 and 3,410.28 is: 4,691.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.48 : 5,374.56 = 3,410.28 : x
  2. Step 2: Convert to fraction form
    3,906.48/5,374.56 = 3,410.28/x
  3. Step 3: Cross multiply
    3,906.48x = 5,374.56 × 3,410.28
  4. Step 4: Simplify right side
    3,906.48x = 18,328,754.48
  5. Step 5: Solve for x
    x = 18,328,754.48/3,906.48
  6. Step 6: Final answer
    x = 4,691.88

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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.