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Finding the Fourth Proportional to 3,966.32, 5,473.84 and 2,198.08

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Solution

The fourth proportional to 3,966.32, 5,473.84 and 2,198.08 is: 3,033.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.32 : 5,473.84 = 2,198.08 : x
  2. Step 2: Convert to fraction form
    3,966.32/5,473.84 = 2,198.08/x
  3. Step 3: Cross multiply
    3,966.32x = 5,473.84 × 2,198.08
  4. Step 4: Simplify right side
    3,966.32x = 12,031,938.23
  5. Step 5: Solve for x
    x = 12,031,938.23/3,966.32
  6. Step 6: Final answer
    x = 3,033.53

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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.