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Finding the Fourth Proportional to 3,439.74, 5,156.31 and 1,098.45

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Solution

The fourth proportional to 3,439.74, 5,156.31 and 1,098.45 is: 1,646.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,439.74 : 5,156.31 = 1,098.45 : x
  2. Step 2: Convert to fraction form
    3,439.74/5,156.31 = 1,098.45/x
  3. Step 3: Cross multiply
    3,439.74x = 5,156.31 × 1,098.45
  4. Step 4: Simplify right side
    3,439.74x = 5,663,948.72
  5. Step 5: Solve for x
    x = 5,663,948.72/3,439.74
  6. Step 6: Final answer
    x = 1,646.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.