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Finding the Fourth Proportional to 3,851.24, 5,763.42 and 3,149.80

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Solution

The fourth proportional to 3,851.24, 5,763.42 and 3,149.80 is: 4,713.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.24 : 5,763.42 = 3,149.80 : x
  2. Step 2: Convert to fraction form
    3,851.24/5,763.42 = 3,149.80/x
  3. Step 3: Cross multiply
    3,851.24x = 5,763.42 × 3,149.80
  4. Step 4: Simplify right side
    3,851.24x = 18,153,620.32
  5. Step 5: Solve for x
    x = 18,153,620.32/3,851.24
  6. Step 6: Final answer
    x = 4,713.71

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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.