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Finding the Fourth Proportional to 3,922.57, 5,876.26 and 3,723.31

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Solution

The fourth proportional to 3,922.57, 5,876.26 and 3,723.31 is: 5,577.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.57 : 5,876.26 = 3,723.31 : x
  2. Step 2: Convert to fraction form
    3,922.57/5,876.26 = 3,723.31/x
  3. Step 3: Cross multiply
    3,922.57x = 5,876.26 × 3,723.31
  4. Step 4: Simplify right side
    3,922.57x = 21,879,113.62
  5. Step 5: Solve for x
    x = 21,879,113.62/3,922.57
  6. Step 6: Final answer
    x = 5,577.75

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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.