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Finding the Fourth Proportional to 3,843.71, 5,754.34 and 2,922.87

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Solution

The fourth proportional to 3,843.71, 5,754.34 and 2,922.87 is: 4,375.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.71 : 5,754.34 = 2,922.87 : x
  2. Step 2: Convert to fraction form
    3,843.71/5,754.34 = 2,922.87/x
  3. Step 3: Cross multiply
    3,843.71x = 5,754.34 × 2,922.87
  4. Step 4: Simplify right side
    3,843.71x = 16,819,212.99
  5. Step 5: Solve for x
    x = 16,819,212.99/3,843.71
  6. Step 6: Final answer
    x = 4,375.78

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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.