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Finding the Fourth Proportional to 3,963.38, 5,469.63 and 2,284.86

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Solution

The fourth proportional to 3,963.38, 5,469.63 and 2,284.86 is: 3,153.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.38 : 5,469.63 = 2,284.86 : x
  2. Step 2: Convert to fraction form
    3,963.38/5,469.63 = 2,284.86/x
  3. Step 3: Cross multiply
    3,963.38x = 5,469.63 × 2,284.86
  4. Step 4: Simplify right side
    3,963.38x = 12,497,319.98
  5. Step 5: Solve for x
    x = 12,497,319.98/3,963.38
  6. Step 6: Final answer
    x = 3,153.20

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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.