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Finding the Fourth Proportional to 3,968.52, 5,951.39 and 1,627.86

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Solution

The fourth proportional to 3,968.52, 5,951.39 and 1,627.86 is: 2,441.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.52 : 5,951.39 = 1,627.86 : x
  2. Step 2: Convert to fraction form
    3,968.52/5,951.39 = 1,627.86/x
  3. Step 3: Cross multiply
    3,968.52x = 5,951.39 × 1,627.86
  4. Step 4: Simplify right side
    3,968.52x = 9,688,029.73
  5. Step 5: Solve for x
    x = 9,688,029.73/3,968.52
  6. Step 6: Final answer
    x = 2,441.22

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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.