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Finding the Fourth Proportional to 3,799.68, 5,243.58 and 2,227.80

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Solution

The fourth proportional to 3,799.68, 5,243.58 and 2,227.80 is: 3,074.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,799.68 : 5,243.58 = 2,227.80 : x
  2. Step 2: Convert to fraction form
    3,799.68/5,243.58 = 2,227.80/x
  3. Step 3: Cross multiply
    3,799.68x = 5,243.58 × 2,227.80
  4. Step 4: Simplify right side
    3,799.68x = 11,681,647.52
  5. Step 5: Solve for x
    x = 11,681,647.52/3,799.68
  6. Step 6: Final answer
    x = 3,074.38

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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.