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Finding the Fourth Proportional to 3,086.46, 4,255.92 and 1,966.14

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Solution

The fourth proportional to 3,086.46, 4,255.92 and 1,966.14 is: 2,711.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.46 : 4,255.92 = 1,966.14 : x
  2. Step 2: Convert to fraction form
    3,086.46/4,255.92 = 1,966.14/x
  3. Step 3: Cross multiply
    3,086.46x = 4,255.92 × 1,966.14
  4. Step 4: Simplify right side
    3,086.46x = 8,367,734.55
  5. Step 5: Solve for x
    x = 8,367,734.55/3,086.46
  6. Step 6: Final answer
    x = 2,711.11

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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.