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Finding the Fourth Proportional to 3,142.87, 4,327.23 and 2,394.43

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Solution

The fourth proportional to 3,142.87, 4,327.23 and 2,394.43 is: 3,296.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.87 : 4,327.23 = 2,394.43 : x
  2. Step 2: Convert to fraction form
    3,142.87/4,327.23 = 2,394.43/x
  3. Step 3: Cross multiply
    3,142.87x = 4,327.23 × 2,394.43
  4. Step 4: Simplify right side
    3,142.87x = 10,361,249.33
  5. Step 5: Solve for x
    x = 10,361,249.33/3,142.87
  6. Step 6: Final answer
    x = 3,296.75

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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.