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Finding the Fourth Proportional to 3,858.81, 5,778.96 and 2,099.44

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Solution

The fourth proportional to 3,858.81, 5,778.96 and 2,099.44 is: 3,144.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.81 : 5,778.96 = 2,099.44 : x
  2. Step 2: Convert to fraction form
    3,858.81/5,778.96 = 2,099.44/x
  3. Step 3: Cross multiply
    3,858.81x = 5,778.96 × 2,099.44
  4. Step 4: Simplify right side
    3,858.81x = 12,132,579.78
  5. Step 5: Solve for x
    x = 12,132,579.78/3,858.81
  6. Step 6: Final answer
    x = 3,144.12

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