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Finding the Fourth Proportional to 3,414.21, 5,119.49 and 1,073.78

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Solution

The fourth proportional to 3,414.21, 5,119.49 and 1,073.78 is: 1,610.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.21 : 5,119.49 = 1,073.78 : x
  2. Step 2: Convert to fraction form
    3,414.21/5,119.49 = 1,073.78/x
  3. Step 3: Cross multiply
    3,414.21x = 5,119.49 × 1,073.78
  4. Step 4: Simplify right side
    3,414.21x = 5,497,205.97
  5. Step 5: Solve for x
    x = 5,497,205.97/3,414.21
  6. Step 6: Final answer
    x = 1,610.10

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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.