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Finding the Fourth Proportional to 3,862.06, 5,793.29 and 1,229.85

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Solution

The fourth proportional to 3,862.06, 5,793.29 and 1,229.85 is: 1,844.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.06 : 5,793.29 = 1,229.85 : x
  2. Step 2: Convert to fraction form
    3,862.06/5,793.29 = 1,229.85/x
  3. Step 3: Cross multiply
    3,862.06x = 5,793.29 × 1,229.85
  4. Step 4: Simplify right side
    3,862.06x = 7,124,876.17
  5. Step 5: Solve for x
    x = 7,124,876.17/3,862.06
  6. Step 6: Final answer
    x = 1,844.84

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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.