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Finding the Fourth Proportional to 4,951.78, 6,834.42 and 3,273.28

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Solution

The fourth proportional to 4,951.78, 6,834.42 and 3,273.28 is: 4,517.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951.78 : 6,834.42 = 3,273.28 : x
  2. Step 2: Convert to fraction form
    4,951.78/6,834.42 = 3,273.28/x
  3. Step 3: Cross multiply
    4,951.78x = 6,834.42 × 3,273.28
  4. Step 4: Simplify right side
    4,951.78x = 22,370,970.30
  5. Step 5: Solve for x
    x = 22,370,970.30/4,951.78
  6. Step 6: Final answer
    x = 4,517.76

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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.