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Finding the Fourth Proportional to 6,098.72, 8,414.90 and 3,974.04

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Solution

The fourth proportional to 6,098.72, 8,414.90 and 3,974.04 is: 5,483.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.72 : 8,414.90 = 3,974.04 : x
  2. Step 2: Convert to fraction form
    6,098.72/8,414.90 = 3,974.04/x
  3. Step 3: Cross multiply
    6,098.72x = 8,414.90 × 3,974.04
  4. Step 4: Simplify right side
    6,098.72x = 33,441,149.20
  5. Step 5: Solve for x
    x = 33,441,149.20/6,098.72
  6. Step 6: Final answer
    x = 5,483.31

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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.