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Finding the Fourth Proportional to 3,966.76, 5,474.15 and 2,198.33

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Solution

The fourth proportional to 3,966.76, 5,474.15 and 2,198.33 is: 3,033.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.76 : 5,474.15 = 2,198.33 : x
  2. Step 2: Convert to fraction form
    3,966.76/5,474.15 = 2,198.33/x
  3. Step 3: Cross multiply
    3,966.76x = 5,474.15 × 2,198.33
  4. Step 4: Simplify right side
    3,966.76x = 12,033,988.17
  5. Step 5: Solve for x
    x = 12,033,988.17/3,966.76
  6. Step 6: Final answer
    x = 3,033.71

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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.