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Finding the Fourth Proportional to 3,879.64, 5,815.44 and 1,538.68

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Solution

The fourth proportional to 3,879.64, 5,815.44 and 1,538.68 is: 2,306.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.64 : 5,815.44 = 1,538.68 : x
  2. Step 2: Convert to fraction form
    3,879.64/5,815.44 = 1,538.68/x
  3. Step 3: Cross multiply
    3,879.64x = 5,815.44 × 1,538.68
  4. Step 4: Simplify right side
    3,879.64x = 8,948,101.22
  5. Step 5: Solve for x
    x = 8,948,101.22/3,879.64
  6. Step 6: Final answer
    x = 2,306.43

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