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Finding the Fourth Proportional to 5,227.60, 7,213.55 and 2,959.20

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Solution

The fourth proportional to 5,227.60, 7,213.55 and 2,959.20 is: 4,083.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.60 : 7,213.55 = 2,959.20 : x
  2. Step 2: Convert to fraction form
    5,227.60/7,213.55 = 2,959.20/x
  3. Step 3: Cross multiply
    5,227.60x = 7,213.55 × 2,959.20
  4. Step 4: Simplify right side
    5,227.60x = 21,346,286.30
  5. Step 5: Solve for x
    x = 21,346,286.30/5,227.60
  6. Step 6: Final answer
    x = 4,083.38

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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.