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Finding the Fourth Proportional to 5,876.98, 8,110.22 and 3,224.42

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Solution

The fourth proportional to 5,876.98, 8,110.22 and 3,224.42 is: 4,449.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.98 : 8,110.22 = 3,224.42 : x
  2. Step 2: Convert to fraction form
    5,876.98/8,110.22 = 3,224.42/x
  3. Step 3: Cross multiply
    5,876.98x = 8,110.22 × 3,224.42
  4. Step 4: Simplify right side
    5,876.98x = 26,150,755.57
  5. Step 5: Solve for x
    x = 26,150,755.57/5,876.98
  6. Step 6: Final answer
    x = 4,449.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.