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Finding the Fourth Proportional to 5,157.96, 7,729.38 and 3,204.24

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Solution

The fourth proportional to 5,157.96, 7,729.38 and 3,204.24 is: 4,801.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.96 : 7,729.38 = 3,204.24 : x
  2. Step 2: Convert to fraction form
    5,157.96/7,729.38 = 3,204.24/x
  3. Step 3: Cross multiply
    5,157.96x = 7,729.38 × 3,204.24
  4. Step 4: Simplify right side
    5,157.96x = 24,766,788.57
  5. Step 5: Solve for x
    x = 24,766,788.57/5,157.96
  6. Step 6: Final answer
    x = 4,801.66

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