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Finding the Fourth Proportional to 4,162.80, 5,744.84 and 2,394.41

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Solution

The fourth proportional to 4,162.80, 5,744.84 and 2,394.41 is: 3,304.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.80 : 5,744.84 = 2,394.41 : x
  2. Step 2: Convert to fraction form
    4,162.80/5,744.84 = 2,394.41/x
  3. Step 3: Cross multiply
    4,162.80x = 5,744.84 × 2,394.41
  4. Step 4: Simplify right side
    4,162.80x = 13,755,461.65
  5. Step 5: Solve for x
    x = 13,755,461.65/4,162.80
  6. Step 6: Final answer
    x = 3,304.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.