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Finding the Fourth Proportional to 5,737.50, 8,600.31 and 2,452.68

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Solution

The fourth proportional to 5,737.50, 8,600.31 and 2,452.68 is: 3,676.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.50 : 8,600.31 = 2,452.68 : x
  2. Step 2: Convert to fraction form
    5,737.50/8,600.31 = 2,452.68/x
  3. Step 3: Cross multiply
    5,737.50x = 8,600.31 × 2,452.68
  4. Step 4: Simplify right side
    5,737.50x = 21,093,808.33
  5. Step 5: Solve for x
    x = 21,093,808.33/5,737.50
  6. Step 6: Final answer
    x = 3,676.48

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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.