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Finding the Fourth Proportional to 3,283.38, 4,531.11 and 1,957.85

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Solution

The fourth proportional to 3,283.38, 4,531.11 and 1,957.85 is: 2,701.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.38 : 4,531.11 = 1,957.85 : x
  2. Step 2: Convert to fraction form
    3,283.38/4,531.11 = 1,957.85/x
  3. Step 3: Cross multiply
    3,283.38x = 4,531.11 × 1,957.85
  4. Step 4: Simplify right side
    3,283.38x = 8,871,245.04
  5. Step 5: Solve for x
    x = 8,871,245.04/3,283.38
  6. Step 6: Final answer
    x = 2,701.86

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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.