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Finding the Fourth Proportional to 3,680.32, 5,079.20 and 2,747.20

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Solution

The fourth proportional to 3,680.32, 5,079.20 and 2,747.20 is: 3,791.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680.32 : 5,079.20 = 2,747.20 : x
  2. Step 2: Convert to fraction form
    3,680.32/5,079.20 = 2,747.20/x
  3. Step 3: Cross multiply
    3,680.32x = 5,079.20 × 2,747.20
  4. Step 4: Simplify right side
    3,680.32x = 13,953,578.24
  5. Step 5: Solve for x
    x = 13,953,578.24/3,680.32
  6. Step 6: Final answer
    x = 3,791.40

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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.