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Finding the Fourth Proportional to 3,917.89, 5,876.25 and 996.22

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Solution

The fourth proportional to 3,917.89, 5,876.25 and 996.22 is: 1,494.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.89 : 5,876.25 = 996.22 : x
  2. Step 2: Convert to fraction form
    3,917.89/5,876.25 = 996.22/x
  3. Step 3: Cross multiply
    3,917.89x = 5,876.25 × 996.22
  4. Step 4: Simplify right side
    3,917.89x = 5,854,037.78
  5. Step 5: Solve for x
    x = 5,854,037.78/3,917.89
  6. Step 6: Final answer
    x = 1,494.18

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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.