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Finding the Fourth Proportional to 3,452.76, 5,142.78 and 3,380.76

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Solution

The fourth proportional to 3,452.76, 5,142.78 and 3,380.76 is: 5,035.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.76 : 5,142.78 = 3,380.76 : x
  2. Step 2: Convert to fraction form
    3,452.76/5,142.78 = 3,380.76/x
  3. Step 3: Cross multiply
    3,452.76x = 5,142.78 × 3,380.76
  4. Step 4: Simplify right side
    3,452.76x = 17,386,504.91
  5. Step 5: Solve for x
    x = 17,386,504.91/3,452.76
  6. Step 6: Final answer
    x = 5,035.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.