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Finding the Fourth Proportional to 5,164.97, 7,734.69 and 2,701.86

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Solution

The fourth proportional to 5,164.97, 7,734.69 and 2,701.86 is: 4,046.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.97 : 7,734.69 = 2,701.86 : x
  2. Step 2: Convert to fraction form
    5,164.97/7,734.69 = 2,701.86/x
  3. Step 3: Cross multiply
    5,164.97x = 7,734.69 × 2,701.86
  4. Step 4: Simplify right side
    5,164.97x = 20,898,020.52
  5. Step 5: Solve for x
    x = 20,898,020.52/5,164.97
  6. Step 6: Final answer
    x = 4,046.11

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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.