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Finding the Fourth Proportional to 3,862.12, 5,792 and 1,229.52

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Solution

The fourth proportional to 3,862.12, 5,792 and 1,229.52 is: 1,843.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.12 : 5,792 = 1,229.52 : x
  2. Step 2: Convert to fraction form
    3,862.12/5,792 = 1,229.52/x
  3. Step 3: Cross multiply
    3,862.12x = 5,792 × 1,229.52
  4. Step 4: Simplify right side
    3,862.12x = 7,121,379.84
  5. Step 5: Solve for x
    x = 7,121,379.84/3,862.12
  6. Step 6: Final answer
    x = 1,843.90

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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.