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Finding the Fourth Proportional to 5,230.92, 7,849.62 and 3,840.84

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Solution

The fourth proportional to 5,230.92, 7,849.62 and 3,840.84 is: 5,763.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.92 : 7,849.62 = 3,840.84 : x
  2. Step 2: Convert to fraction form
    5,230.92/7,849.62 = 3,840.84/x
  3. Step 3: Cross multiply
    5,230.92x = 7,849.62 × 3,840.84
  4. Step 4: Simplify right side
    5,230.92x = 30,149,134.48
  5. Step 5: Solve for x
    x = 30,149,134.48/5,230.92
  6. Step 6: Final answer
    x = 5,763.64

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