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Finding the Fourth Proportional to 3,966.84, 5,474.28 and 2,198.48

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Solution

The fourth proportional to 3,966.84, 5,474.28 and 2,198.48 is: 3,033.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.84 : 5,474.28 = 2,198.48 : x
  2. Step 2: Convert to fraction form
    3,966.84/5,474.28 = 2,198.48/x
  3. Step 3: Cross multiply
    3,966.84x = 5,474.28 × 2,198.48
  4. Step 4: Simplify right side
    3,966.84x = 12,035,084.10
  5. Step 5: Solve for x
    x = 12,035,084.10/3,966.84
  6. Step 6: Final answer
    x = 3,033.93

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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.