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Finding the Fourth Proportional to 3,986.87, 5,493.78 and 3,085.11

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Solution

The fourth proportional to 3,986.87, 5,493.78 and 3,085.11 is: 4,251.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.87 : 5,493.78 = 3,085.11 : x
  2. Step 2: Convert to fraction form
    3,986.87/5,493.78 = 3,085.11/x
  3. Step 3: Cross multiply
    3,986.87x = 5,493.78 × 3,085.11
  4. Step 4: Simplify right side
    3,986.87x = 16,948,915.62
  5. Step 5: Solve for x
    x = 16,948,915.62/3,986.87
  6. Step 6: Final answer
    x = 4,251.19

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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.