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Finding the Fourth Proportional to 5,149.96, 7,722.50 and 2,375.81

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Solution

The fourth proportional to 5,149.96, 7,722.50 and 2,375.81 is: 3,562.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.96 : 7,722.50 = 2,375.81 : x
  2. Step 2: Convert to fraction form
    5,149.96/7,722.50 = 2,375.81/x
  3. Step 3: Cross multiply
    5,149.96x = 7,722.50 × 2,375.81
  4. Step 4: Simplify right side
    5,149.96x = 18,347,192.73
  5. Step 5: Solve for x
    x = 18,347,192.73/5,149.96
  6. Step 6: Final answer
    x = 3,562.59

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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.