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Finding the Fourth Proportional to 3,967.38, 5,474.66 and 2,198.81

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Solution

The fourth proportional to 3,967.38, 5,474.66 and 2,198.81 is: 3,034.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.38 : 5,474.66 = 2,198.81 : x
  2. Step 2: Convert to fraction form
    3,967.38/5,474.66 = 2,198.81/x
  3. Step 3: Cross multiply
    3,967.38x = 5,474.66 × 2,198.81
  4. Step 4: Simplify right side
    3,967.38x = 12,037,739.85
  5. Step 5: Solve for x
    x = 12,037,739.85/3,967.38
  6. Step 6: Final answer
    x = 3,034.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.