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Finding the Fourth Proportional to 5,734.67, 8,600.01 and 2,732.34

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Solution

The fourth proportional to 5,734.67, 8,600.01 and 2,732.34 is: 4,097.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.67 : 8,600.01 = 2,732.34 : x
  2. Step 2: Convert to fraction form
    5,734.67/8,600.01 = 2,732.34/x
  3. Step 3: Cross multiply
    5,734.67x = 8,600.01 × 2,732.34
  4. Step 4: Simplify right side
    5,734.67x = 23,498,151.32
  5. Step 5: Solve for x
    x = 23,498,151.32/5,734.67
  6. Step 6: Final answer
    x = 4,097.56

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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.