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Finding the Fourth Proportional to 5,711.14, 7,881.37 and 3,227.14

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Solution

The fourth proportional to 5,711.14, 7,881.37 and 3,227.14 is: 4,453.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.14 : 7,881.37 = 3,227.14 : x
  2. Step 2: Convert to fraction form
    5,711.14/7,881.37 = 3,227.14/x
  3. Step 3: Cross multiply
    5,711.14x = 7,881.37 × 3,227.14
  4. Step 4: Simplify right side
    5,711.14x = 25,434,284.38
  5. Step 5: Solve for x
    x = 25,434,284.38/5,711.14
  6. Step 6: Final answer
    x = 4,453.45

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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.