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Finding the Fourth Proportional to 3,966.96, 5,474.34 and 2,198.56

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Solution

The fourth proportional to 3,966.96, 5,474.34 and 2,198.56 is: 3,033.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.96 : 5,474.34 = 2,198.56 : x
  2. Step 2: Convert to fraction form
    3,966.96/5,474.34 = 2,198.56/x
  3. Step 3: Cross multiply
    3,966.96x = 5,474.34 × 2,198.56
  4. Step 4: Simplify right side
    3,966.96x = 12,035,664.95
  5. Step 5: Solve for x
    x = 12,035,664.95/3,966.96
  6. Step 6: Final answer
    x = 3,033.98

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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.