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Finding the Fourth Proportional to 3,638.62, 5,455.92 and 1,689.10

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Solution

The fourth proportional to 3,638.62, 5,455.92 and 1,689.10 is: 2,532.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.62 : 5,455.92 = 1,689.10 : x
  2. Step 2: Convert to fraction form
    3,638.62/5,455.92 = 1,689.10/x
  3. Step 3: Cross multiply
    3,638.62x = 5,455.92 × 1,689.10
  4. Step 4: Simplify right side
    3,638.62x = 9,215,594.47
  5. Step 5: Solve for x
    x = 9,215,594.47/3,638.62
  6. Step 6: Final answer
    x = 2,532.72

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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.