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Finding the Fourth Proportional to 3,772.67, 5,656.17 and 1,922.90

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Solution

The fourth proportional to 3,772.67, 5,656.17 and 1,922.90 is: 2,882.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.67 : 5,656.17 = 1,922.90 : x
  2. Step 2: Convert to fraction form
    3,772.67/5,656.17 = 1,922.90/x
  3. Step 3: Cross multiply
    3,772.67x = 5,656.17 × 1,922.90
  4. Step 4: Simplify right side
    3,772.67x = 10,876,249.29
  5. Step 5: Solve for x
    x = 10,876,249.29/3,772.67
  6. Step 6: Final answer
    x = 2,882.91

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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.