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Finding the Fourth Proportional to 6,375.25, 8,796.09 and 3,822

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Solution

The fourth proportional to 6,375.25, 8,796.09 and 3,822 is: 5,273.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,375.25 : 8,796.09 = 3,822 : x
  2. Step 2: Convert to fraction form
    6,375.25/8,796.09 = 3,822/x
  3. Step 3: Cross multiply
    6,375.25x = 8,796.09 × 3,822
  4. Step 4: Simplify right side
    6,375.25x = 33,618,655.98
  5. Step 5: Solve for x
    x = 33,618,655.98/6,375.25
  6. Step 6: Final answer
    x = 5,273.31

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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.