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Finding the Fourth Proportional to 5,198.22, 7,797.60 and 2,600.28

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Solution

The fourth proportional to 5,198.22, 7,797.60 and 2,600.28 is: 3,900.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.22 : 7,797.60 = 2,600.28 : x
  2. Step 2: Convert to fraction form
    5,198.22/7,797.60 = 2,600.28/x
  3. Step 3: Cross multiply
    5,198.22x = 7,797.60 × 2,600.28
  4. Step 4: Simplify right side
    5,198.22x = 20,275,943.33
  5. Step 5: Solve for x
    x = 20,275,943.33/5,198.22
  6. Step 6: Final answer
    x = 3,900.56

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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.