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Finding the Fourth Proportional to 3,589, 5,385.66 and 1,537

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Solution

The fourth proportional to 3,589, 5,385.66 and 1,537 is: 2,306.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589 : 5,385.66 = 1,537 : x
  2. Step 2: Convert to fraction form
    3,589/5,385.66 = 1,537/x
  3. Step 3: Cross multiply
    3,589x = 5,385.66 × 1,537
  4. Step 4: Simplify right side
    3,589x = 8,277,759.42
  5. Step 5: Solve for x
    x = 8,277,759.42/3,589
  6. Step 6: Final answer
    x = 2,306.43

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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.