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Finding the Fourth Proportional to 3,380.82, 5,071.32 and 1,432.68

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Solution

The fourth proportional to 3,380.82, 5,071.32 and 1,432.68 is: 2,149.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.82 : 5,071.32 = 1,432.68 : x
  2. Step 2: Convert to fraction form
    3,380.82/5,071.32 = 1,432.68/x
  3. Step 3: Cross multiply
    3,380.82x = 5,071.32 × 1,432.68
  4. Step 4: Simplify right side
    3,380.82x = 7,265,578.74
  5. Step 5: Solve for x
    x = 7,265,578.74/3,380.82
  6. Step 6: Final answer
    x = 2,149.06

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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.