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Finding the Fourth Proportional to 3,966.89, 5,474.28 and 2,198.49

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Solution

The fourth proportional to 3,966.89, 5,474.28 and 2,198.49 is: 3,033.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.89 : 5,474.28 = 2,198.49 : x
  2. Step 2: Convert to fraction form
    3,966.89/5,474.28 = 2,198.49/x
  3. Step 3: Cross multiply
    3,966.89x = 5,474.28 × 2,198.49
  4. Step 4: Simplify right side
    3,966.89x = 12,035,137.55
  5. Step 5: Solve for x
    x = 12,035,137.55/3,966.89
  6. Step 6: Final answer
    x = 3,033.90

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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.