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Finding the Fourth Proportional to 5,917.88, 8,876.82 and 2,022.32

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Solution

The fourth proportional to 5,917.88, 8,876.82 and 2,022.32 is: 3,033.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,917.88 : 8,876.82 = 2,022.32 : x
  2. Step 2: Convert to fraction form
    5,917.88/8,876.82 = 2,022.32/x
  3. Step 3: Cross multiply
    5,917.88x = 8,876.82 × 2,022.32
  4. Step 4: Simplify right side
    5,917.88x = 17,951,770.62
  5. Step 5: Solve for x
    x = 17,951,770.62/5,917.88
  6. Step 6: Final answer
    x = 3,033.48

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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.