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Finding the Fourth Proportional to 5,200.98, 7,177.50 and 2,843.26

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Solution

The fourth proportional to 5,200.98, 7,177.50 and 2,843.26 is: 3,923.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.98 : 7,177.50 = 2,843.26 : x
  2. Step 2: Convert to fraction form
    5,200.98/7,177.50 = 2,843.26/x
  3. Step 3: Cross multiply
    5,200.98x = 7,177.50 × 2,843.26
  4. Step 4: Simplify right side
    5,200.98x = 20,407,498.65
  5. Step 5: Solve for x
    x = 20,407,498.65/5,200.98
  6. Step 6: Final answer
    x = 3,923.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.