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Finding the Fourth Proportional to 3,862.26, 5,793.08 and 1,229.86

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Solution

The fourth proportional to 3,862.26, 5,793.08 and 1,229.86 is: 1,844.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.26 : 5,793.08 = 1,229.86 : x
  2. Step 2: Convert to fraction form
    3,862.26/5,793.08 = 1,229.86/x
  3. Step 3: Cross multiply
    3,862.26x = 5,793.08 × 1,229.86
  4. Step 4: Simplify right side
    3,862.26x = 7,124,671.22
  5. Step 5: Solve for x
    x = 7,124,671.22/3,862.26
  6. Step 6: Final answer
    x = 1,844.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.