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Finding the Fourth Proportional to 4,161.84, 5,744.31 and 2,394.45

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Solution

The fourth proportional to 4,161.84, 5,744.31 and 2,394.45 is: 3,304.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.84 : 5,744.31 = 2,394.45 : x
  2. Step 2: Convert to fraction form
    4,161.84/5,744.31 = 2,394.45/x
  3. Step 3: Cross multiply
    4,161.84x = 5,744.31 × 2,394.45
  4. Step 4: Simplify right side
    4,161.84x = 13,754,463.08
  5. Step 5: Solve for x
    x = 13,754,463.08/4,161.84
  6. Step 6: Final answer
    x = 3,304.90

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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.