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Finding the Fourth Proportional to 3,820.57, 5,731.22 and 1,481.69

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Solution

The fourth proportional to 3,820.57, 5,731.22 and 1,481.69 is: 2,222.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.57 : 5,731.22 = 1,481.69 : x
  2. Step 2: Convert to fraction form
    3,820.57/5,731.22 = 1,481.69/x
  3. Step 3: Cross multiply
    3,820.57x = 5,731.22 × 1,481.69
  4. Step 4: Simplify right side
    3,820.57x = 8,491,909.39
  5. Step 5: Solve for x
    x = 8,491,909.39/3,820.57
  6. Step 6: Final answer
    x = 2,222.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.