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Finding the Fourth Proportional to 3,883.40, 5,811.42 and 3,181.64

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Solution

The fourth proportional to 3,883.40, 5,811.42 and 3,181.64 is: 4,761.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.40 : 5,811.42 = 3,181.64 : x
  2. Step 2: Convert to fraction form
    3,883.40/5,811.42 = 3,181.64/x
  3. Step 3: Cross multiply
    3,883.40x = 5,811.42 × 3,181.64
  4. Step 4: Simplify right side
    3,883.40x = 18,489,846.33
  5. Step 5: Solve for x
    x = 18,489,846.33/3,883.40
  6. Step 6: Final answer
    x = 4,761.25

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