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Finding the Fourth Proportional to 4,162.43, 5,744.70 and 2,394.20

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Solution

The fourth proportional to 4,162.43, 5,744.70 and 2,394.20 is: 3,304.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.43 : 5,744.70 = 2,394.20 : x
  2. Step 2: Convert to fraction form
    4,162.43/5,744.70 = 2,394.20/x
  3. Step 3: Cross multiply
    4,162.43x = 5,744.70 × 2,394.20
  4. Step 4: Simplify right side
    4,162.43x = 13,753,932.02
  5. Step 5: Solve for x
    x = 13,753,932.02/4,162.43
  6. Step 6: Final answer
    x = 3,304.31

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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.