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Finding the Fourth Proportional to 3,963.52, 5,467.92 and 2,284.54

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Solution

The fourth proportional to 3,963.52, 5,467.92 and 2,284.54 is: 3,151.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.52 : 5,467.92 = 2,284.54 : x
  2. Step 2: Convert to fraction form
    3,963.52/5,467.92 = 2,284.54/x
  3. Step 3: Cross multiply
    3,963.52x = 5,467.92 × 2,284.54
  4. Step 4: Simplify right side
    3,963.52x = 12,491,681.96
  5. Step 5: Solve for x
    x = 12,491,681.96/3,963.52
  6. Step 6: Final answer
    x = 3,151.66

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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.