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Finding the Fourth Proportional to 4,189.91, 5,777.26 and 3,823.79

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Solution

The fourth proportional to 4,189.91, 5,777.26 and 3,823.79 is: 5,272.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.91 : 5,777.26 = 3,823.79 : x
  2. Step 2: Convert to fraction form
    4,189.91/5,777.26 = 3,823.79/x
  3. Step 3: Cross multiply
    4,189.91x = 5,777.26 × 3,823.79
  4. Step 4: Simplify right side
    4,189.91x = 22,090,990.57
  5. Step 5: Solve for x
    x = 22,090,990.57/4,189.91
  6. Step 6: Final answer
    x = 5,272.43

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