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Finding the Fourth Proportional to 3,862.32, 5,793.23 and 1,229.78

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Solution

The fourth proportional to 3,862.32, 5,793.23 and 1,229.78 is: 1,844.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.32 : 5,793.23 = 1,229.78 : x
  2. Step 2: Convert to fraction form
    3,862.32/5,793.23 = 1,229.78/x
  3. Step 3: Cross multiply
    3,862.32x = 5,793.23 × 1,229.78
  4. Step 4: Simplify right side
    3,862.32x = 7,124,363.27
  5. Step 5: Solve for x
    x = 7,124,363.27/3,862.32
  6. Step 6: Final answer
    x = 1,844.58

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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.