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Finding the Fourth Proportional to 3,847.88, 5,304.38 and 3,006.76

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Solution

The fourth proportional to 3,847.88, 5,304.38 and 3,006.76 is: 4,144.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.88 : 5,304.38 = 3,006.76 : x
  2. Step 2: Convert to fraction form
    3,847.88/5,304.38 = 3,006.76/x
  3. Step 3: Cross multiply
    3,847.88x = 5,304.38 × 3,006.76
  4. Step 4: Simplify right side
    3,847.88x = 15,948,997.61
  5. Step 5: Solve for x
    x = 15,948,997.61/3,847.88
  6. Step 6: Final answer
    x = 4,144.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.