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Finding the Fourth Proportional to 5,227.11, 7,213.61 and 3,103.74

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Solution

The fourth proportional to 5,227.11, 7,213.61 and 3,103.74 is: 4,283.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.11 : 7,213.61 = 3,103.74 : x
  2. Step 2: Convert to fraction form
    5,227.11/7,213.61 = 3,103.74/x
  3. Step 3: Cross multiply
    5,227.11x = 7,213.61 × 3,103.74
  4. Step 4: Simplify right side
    5,227.11x = 22,389,154.38
  5. Step 5: Solve for x
    x = 22,389,154.38/5,227.11
  6. Step 6: Final answer
    x = 4,283.28

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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.