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Finding the Fourth Proportional to 3,966.47, 5,473.73 and 2,198.09

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Solution

The fourth proportional to 3,966.47, 5,473.73 and 2,198.09 is: 3,033.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.47 : 5,473.73 = 2,198.09 : x
  2. Step 2: Convert to fraction form
    3,966.47/5,473.73 = 2,198.09/x
  3. Step 3: Cross multiply
    3,966.47x = 5,473.73 × 2,198.09
  4. Step 4: Simplify right side
    3,966.47x = 12,031,727.20
  5. Step 5: Solve for x
    x = 12,031,727.20/3,966.47
  6. Step 6: Final answer
    x = 3,033.36

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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.