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Finding the Fourth Proportional to 3,876.96, 5,350.71 and 3,771.41

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Solution

The fourth proportional to 3,876.96, 5,350.71 and 3,771.41 is: 5,205.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.96 : 5,350.71 = 3,771.41 : x
  2. Step 2: Convert to fraction form
    3,876.96/5,350.71 = 3,771.41/x
  3. Step 3: Cross multiply
    3,876.96x = 5,350.71 × 3,771.41
  4. Step 4: Simplify right side
    3,876.96x = 20,179,723.94
  5. Step 5: Solve for x
    x = 20,179,723.94/3,876.96
  6. Step 6: Final answer
    x = 5,205.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.