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Finding the Fourth Proportional to 3,963.67, 5,947.54 and 2,015.87

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Solution

The fourth proportional to 3,963.67, 5,947.54 and 2,015.87 is: 3,024.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.67 : 5,947.54 = 2,015.87 : x
  2. Step 2: Convert to fraction form
    3,963.67/5,947.54 = 2,015.87/x
  3. Step 3: Cross multiply
    3,963.67x = 5,947.54 × 2,015.87
  4. Step 4: Simplify right side
    3,963.67x = 11,989,432.68
  5. Step 5: Solve for x
    x = 11,989,432.68/3,963.67
  6. Step 6: Final answer
    x = 3,024.83

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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.