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Finding the Fourth Proportional to 3,791.61, 5,687.42 and 2,498.85

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Solution

The fourth proportional to 3,791.61, 5,687.42 and 2,498.85 is: 3,748.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.61 : 5,687.42 = 2,498.85 : x
  2. Step 2: Convert to fraction form
    3,791.61/5,687.42 = 2,498.85/x
  3. Step 3: Cross multiply
    3,791.61x = 5,687.42 × 2,498.85
  4. Step 4: Simplify right side
    3,791.61x = 14,211,996.97
  5. Step 5: Solve for x
    x = 14,211,996.97/3,791.61
  6. Step 6: Final answer
    x = 3,748.28

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1.5x scale

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.