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Finding the Fourth Proportional to 5,257.89, 7,892.10 and 3,778.85

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Solution

The fourth proportional to 5,257.89, 7,892.10 and 3,778.85 is: 5,672.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.89 : 7,892.10 = 3,778.85 : x
  2. Step 2: Convert to fraction form
    5,257.89/7,892.10 = 3,778.85/x
  3. Step 3: Cross multiply
    5,257.89x = 7,892.10 × 3,778.85
  4. Step 4: Simplify right side
    5,257.89x = 29,823,062.09
  5. Step 5: Solve for x
    x = 29,823,062.09/5,257.89
  6. Step 6: Final answer
    x = 5,672.06

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