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Finding the Fourth Proportional to 3,397.95, 5,098.41 and 2,167.74

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Solution

The fourth proportional to 3,397.95, 5,098.41 and 2,167.74 is: 3,252.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.95 : 5,098.41 = 2,167.74 : x
  2. Step 2: Convert to fraction form
    3,397.95/5,098.41 = 2,167.74/x
  3. Step 3: Cross multiply
    3,397.95x = 5,098.41 × 2,167.74
  4. Step 4: Simplify right side
    3,397.95x = 11,052,027.29
  5. Step 5: Solve for x
    x = 11,052,027.29/3,397.95
  6. Step 6: Final answer
    x = 3,252.56

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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.