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Finding the Fourth Proportional to 3,255.86, 4,865.92 and 2,380.20

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Solution

The fourth proportional to 3,255.86, 4,865.92 and 2,380.20 is: 3,557.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,255.86 : 4,865.92 = 2,380.20 : x
  2. Step 2: Convert to fraction form
    3,255.86/4,865.92 = 2,380.20/x
  3. Step 3: Cross multiply
    3,255.86x = 4,865.92 × 2,380.20
  4. Step 4: Simplify right side
    3,255.86x = 11,581,862.78
  5. Step 5: Solve for x
    x = 11,581,862.78/3,255.86
  6. Step 6: Final answer
    x = 3,557.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.