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Finding the Fourth Proportional to 5,827.14, 8,744.49 and 2,540.43

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Solution

The fourth proportional to 5,827.14, 8,744.49 and 2,540.43 is: 3,812.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.14 : 8,744.49 = 2,540.43 : x
  2. Step 2: Convert to fraction form
    5,827.14/8,744.49 = 2,540.43/x
  3. Step 3: Cross multiply
    5,827.14x = 8,744.49 × 2,540.43
  4. Step 4: Simplify right side
    5,827.14x = 22,214,764.73
  5. Step 5: Solve for x
    x = 22,214,764.73/5,827.14
  6. Step 6: Final answer
    x = 3,812.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.