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Finding the Fourth Proportional to 3,917.69, 5,876.58 and 996.00

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Solution

The fourth proportional to 3,917.69, 5,876.58 and 996.00 is: 1,494.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.69 : 5,876.58 = 996.00 : x
  2. Step 2: Convert to fraction form
    3,917.69/5,876.58 = 996.00/x
  3. Step 3: Cross multiply
    3,917.69x = 5,876.58 × 996.00
  4. Step 4: Simplify right side
    3,917.69x = 5,853,046.97
  5. Step 5: Solve for x
    x = 5,853,046.97/3,917.69
  6. Step 6: Final answer
    x = 1,494.00

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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.