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Finding the Fourth Proportional to 3,781.12, 5,672.88 and 2,048.80

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Solution

The fourth proportional to 3,781.12, 5,672.88 and 2,048.80 is: 3,073.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.12 : 5,672.88 = 2,048.80 : x
  2. Step 2: Convert to fraction form
    3,781.12/5,672.88 = 2,048.80/x
  3. Step 3: Cross multiply
    3,781.12x = 5,672.88 × 2,048.80
  4. Step 4: Simplify right side
    3,781.12x = 11,622,596.54
  5. Step 5: Solve for x
    x = 11,622,596.54/3,781.12
  6. Step 6: Final answer
    x = 3,073.85

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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.