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Finding the Fourth Proportional to 3,963.64, 5,945.46 and 1,366.38

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Solution

The fourth proportional to 3,963.64, 5,945.46 and 1,366.38 is: 2,049.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.64 : 5,945.46 = 1,366.38 : x
  2. Step 2: Convert to fraction form
    3,963.64/5,945.46 = 1,366.38/x
  3. Step 3: Cross multiply
    3,963.64x = 5,945.46 × 1,366.38
  4. Step 4: Simplify right side
    3,963.64x = 8,123,757.63
  5. Step 5: Solve for x
    x = 8,123,757.63/3,963.64
  6. Step 6: Final answer
    x = 2,049.57

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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.