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Finding the Fourth Proportional to 5,198.85, 7,796.52 and 1,499.85

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Solution

The fourth proportional to 5,198.85, 7,796.52 and 1,499.85 is: 2,249.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.85 : 7,796.52 = 1,499.85 : x
  2. Step 2: Convert to fraction form
    5,198.85/7,796.52 = 1,499.85/x
  3. Step 3: Cross multiply
    5,198.85x = 7,796.52 × 1,499.85
  4. Step 4: Simplify right side
    5,198.85x = 11,693,610.52
  5. Step 5: Solve for x
    x = 11,693,610.52/5,198.85
  6. Step 6: Final answer
    x = 2,249.27

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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.