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Finding the Fourth Proportional to 3,963.67, 5,468.63 and 2,284.86

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Solution

The fourth proportional to 3,963.67, 5,468.63 and 2,284.86 is: 3,152.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.67 : 5,468.63 = 2,284.86 : x
  2. Step 2: Convert to fraction form
    3,963.67/5,468.63 = 2,284.86/x
  3. Step 3: Cross multiply
    3,963.67x = 5,468.63 × 2,284.86
  4. Step 4: Simplify right side
    3,963.67x = 12,495,045.12
  5. Step 5: Solve for x
    x = 12,495,045.12/3,963.67
  6. Step 6: Final answer
    x = 3,152.39

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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.