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Finding the Fourth Proportional to 3,304.65, 4,947.45 and 2,195.17

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Solution

The fourth proportional to 3,304.65, 4,947.45 and 2,195.17 is: 3,286.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,304.65 : 4,947.45 = 2,195.17 : x
  2. Step 2: Convert to fraction form
    3,304.65/4,947.45 = 2,195.17/x
  3. Step 3: Cross multiply
    3,304.65x = 4,947.45 × 2,195.17
  4. Step 4: Simplify right side
    3,304.65x = 10,860,493.82
  5. Step 5: Solve for x
    x = 10,860,493.82/3,304.65
  6. Step 6: Final answer
    x = 3,286.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.