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Finding the Fourth Proportional to 5,227.07, 7,843.28 and 3,473.28

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Solution

The fourth proportional to 5,227.07, 7,843.28 and 3,473.28 is: 5,211.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.07 : 7,843.28 = 3,473.28 : x
  2. Step 2: Convert to fraction form
    5,227.07/7,843.28 = 3,473.28/x
  3. Step 3: Cross multiply
    5,227.07x = 7,843.28 × 3,473.28
  4. Step 4: Simplify right side
    5,227.07x = 27,241,890.19
  5. Step 5: Solve for x
    x = 27,241,890.19/5,227.07
  6. Step 6: Final answer
    x = 5,211.70

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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.