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Finding the Fourth Proportional to 3,454.67, 5,182.68 and 1,374.29

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Solution

The fourth proportional to 3,454.67, 5,182.68 and 1,374.29 is: 2,061.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.67 : 5,182.68 = 1,374.29 : x
  2. Step 2: Convert to fraction form
    3,454.67/5,182.68 = 1,374.29/x
  3. Step 3: Cross multiply
    3,454.67x = 5,182.68 × 1,374.29
  4. Step 4: Simplify right side
    3,454.67x = 7,122,505.30
  5. Step 5: Solve for x
    x = 7,122,505.30/3,454.67
  6. Step 6: Final answer
    x = 2,061.70

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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.