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Finding the Fourth Proportional to 5,680.38, 7,839.41 and 3,291.22

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Solution

The fourth proportional to 5,680.38, 7,839.41 and 3,291.22 is: 4,542.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,680.38 : 7,839.41 = 3,291.22 : x
  2. Step 2: Convert to fraction form
    5,680.38/7,839.41 = 3,291.22/x
  3. Step 3: Cross multiply
    5,680.38x = 7,839.41 × 3,291.22
  4. Step 4: Simplify right side
    5,680.38x = 25,801,222.98
  5. Step 5: Solve for x
    x = 25,801,222.98/5,680.38
  6. Step 6: Final answer
    x = 4,542.16

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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.