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Finding the Fourth Proportional to 3,488.26, 5,229.86 and 1,638.43

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Solution

The fourth proportional to 3,488.26, 5,229.86 and 1,638.43 is: 2,456.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.26 : 5,229.86 = 1,638.43 : x
  2. Step 2: Convert to fraction form
    3,488.26/5,229.86 = 1,638.43/x
  3. Step 3: Cross multiply
    3,488.26x = 5,229.86 × 1,638.43
  4. Step 4: Simplify right side
    3,488.26x = 8,568,759.52
  5. Step 5: Solve for x
    x = 8,568,759.52/3,488.26
  6. Step 6: Final answer
    x = 2,456.46

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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.