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Finding the Fourth Proportional to 3,840.81, 5,762.56 and 2,198.73

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Solution

The fourth proportional to 3,840.81, 5,762.56 and 2,198.73 is: 3,298.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.81 : 5,762.56 = 2,198.73 : x
  2. Step 2: Convert to fraction form
    3,840.81/5,762.56 = 2,198.73/x
  3. Step 3: Cross multiply
    3,840.81x = 5,762.56 × 2,198.73
  4. Step 4: Simplify right side
    3,840.81x = 12,670,279.24
  5. Step 5: Solve for x
    x = 12,670,279.24/3,840.81
  6. Step 6: Final answer
    x = 3,298.86

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