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Finding the Fourth Proportional to 3,850.14, 5,775.12 and 2,000.64

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Solution

The fourth proportional to 3,850.14, 5,775.12 and 2,000.64 is: 3,000.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.14 : 5,775.12 = 2,000.64 : x
  2. Step 2: Convert to fraction form
    3,850.14/5,775.12 = 2,000.64/x
  3. Step 3: Cross multiply
    3,850.14x = 5,775.12 × 2,000.64
  4. Step 4: Simplify right side
    3,850.14x = 11,553,936.08
  5. Step 5: Solve for x
    x = 11,553,936.08/3,850.14
  6. Step 6: Final answer
    x = 3,000.91

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