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Finding the Fourth Proportional to 3,966.75, 5,473.80 and 2,198.07

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Solution

The fourth proportional to 3,966.75, 5,473.80 and 2,198.07 is: 3,033.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.75 : 5,473.80 = 2,198.07 : x
  2. Step 2: Convert to fraction form
    3,966.75/5,473.80 = 2,198.07/x
  3. Step 3: Cross multiply
    3,966.75x = 5,473.80 × 2,198.07
  4. Step 4: Simplify right side
    3,966.75x = 12,031,795.57
  5. Step 5: Solve for x
    x = 12,031,795.57/3,966.75
  6. Step 6: Final answer
    x = 3,033.16

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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.