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Finding the Fourth Proportional to 3,689.64, 5,535.27 and 1,092.42

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Solution

The fourth proportional to 3,689.64, 5,535.27 and 1,092.42 is: 1,638.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.64 : 5,535.27 = 1,092.42 : x
  2. Step 2: Convert to fraction form
    3,689.64/5,535.27 = 1,092.42/x
  3. Step 3: Cross multiply
    3,689.64x = 5,535.27 × 1,092.42
  4. Step 4: Simplify right side
    3,689.64x = 6,046,839.65
  5. Step 5: Solve for x
    x = 6,046,839.65/3,689.64
  6. Step 6: Final answer
    x = 1,638.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.