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Finding the Fourth Proportional to 3,967.44, 5,474.88 and 2,198.96

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Solution

The fourth proportional to 3,967.44, 5,474.88 and 2,198.96 is: 3,034.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.44 : 5,474.88 = 2,198.96 : x
  2. Step 2: Convert to fraction form
    3,967.44/5,474.88 = 2,198.96/x
  3. Step 3: Cross multiply
    3,967.44x = 5,474.88 × 2,198.96
  4. Step 4: Simplify right side
    3,967.44x = 12,039,042.12
  5. Step 5: Solve for x
    x = 12,039,042.12/3,967.44
  6. Step 6: Final answer
    x = 3,034.46

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1.5x scale

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.