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Finding the Fourth Proportional to 3,414.62, 5,121.68 and 1,334.24

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Solution

The fourth proportional to 3,414.62, 5,121.68 and 1,334.24 is: 2,001.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.62 : 5,121.68 = 1,334.24 : x
  2. Step 2: Convert to fraction form
    3,414.62/5,121.68 = 1,334.24/x
  3. Step 3: Cross multiply
    3,414.62x = 5,121.68 × 1,334.24
  4. Step 4: Simplify right side
    3,414.62x = 6,833,550.32
  5. Step 5: Solve for x
    x = 6,833,550.32/3,414.62
  6. Step 6: Final answer
    x = 2,001.26

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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.