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Finding the Fourth Proportional to 5,201.34, 7,177.74 and 2,843.34

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Solution

The fourth proportional to 5,201.34, 7,177.74 and 2,843.34 is: 3,923.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.34 : 7,177.74 = 2,843.34 : x
  2. Step 2: Convert to fraction form
    5,201.34/7,177.74 = 2,843.34/x
  3. Step 3: Cross multiply
    5,201.34x = 7,177.74 × 2,843.34
  4. Step 4: Simplify right side
    5,201.34x = 20,408,755.25
  5. Step 5: Solve for x
    x = 20,408,755.25/5,201.34
  6. Step 6: Final answer
    x = 3,923.75

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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.