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Finding the Fourth Proportional to 5,201.16, 7,177.50 and 2,843.22

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Solution

The fourth proportional to 5,201.16, 7,177.50 and 2,843.22 is: 3,923.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.16 : 7,177.50 = 2,843.22 : x
  2. Step 2: Convert to fraction form
    5,201.16/7,177.50 = 2,843.22/x
  3. Step 3: Cross multiply
    5,201.16x = 7,177.50 × 2,843.22
  4. Step 4: Simplify right side
    5,201.16x = 20,407,211.55
  5. Step 5: Solve for x
    x = 20,407,211.55/5,201.16
  6. Step 6: Final answer
    x = 3,923.59

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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.