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Finding the Fourth Proportional to 5,414.97, 8,122.35 and 1,717.44

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Solution

The fourth proportional to 5,414.97, 8,122.35 and 1,717.44 is: 2,576.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.97 : 8,122.35 = 1,717.44 : x
  2. Step 2: Convert to fraction form
    5,414.97/8,122.35 = 1,717.44/x
  3. Step 3: Cross multiply
    5,414.97x = 8,122.35 × 1,717.44
  4. Step 4: Simplify right side
    5,414.97x = 13,949,648.78
  5. Step 5: Solve for x
    x = 13,949,648.78/5,414.97
  6. Step 6: Final answer
    x = 2,576.13

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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.