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Finding the Fourth Proportional to 4,086.80, 5,641.04 and 3,877.80

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Solution

The fourth proportional to 4,086.80, 5,641.04 and 3,877.80 is: 5,352.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,086.80 : 5,641.04 = 3,877.80 : x
  2. Step 2: Convert to fraction form
    4,086.80/5,641.04 = 3,877.80/x
  3. Step 3: Cross multiply
    4,086.80x = 5,641.04 × 3,877.80
  4. Step 4: Simplify right side
    4,086.80x = 21,874,824.91
  5. Step 5: Solve for x
    x = 21,874,824.91/4,086.80
  6. Step 6: Final answer
    x = 5,352.56

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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.