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Finding the Fourth Proportional to 4,161.42, 5,744.04 and 2,394.20

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Solution

The fourth proportional to 4,161.42, 5,744.04 and 2,394.20 is: 3,304.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.42 : 5,744.04 = 2,394.20 : x
  2. Step 2: Convert to fraction form
    4,161.42/5,744.04 = 2,394.20/x
  3. Step 3: Cross multiply
    4,161.42x = 5,744.04 × 2,394.20
  4. Step 4: Simplify right side
    4,161.42x = 13,752,394.93
  5. Step 5: Solve for x
    x = 13,752,394.93/4,161.42
  6. Step 6: Final answer
    x = 3,304.74

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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.