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Finding the Fourth Proportional to 3,892.62, 5,367.75 and 2,564.64

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Solution

The fourth proportional to 3,892.62, 5,367.75 and 2,564.64 is: 3,536.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.62 : 5,367.75 = 2,564.64 : x
  2. Step 2: Convert to fraction form
    3,892.62/5,367.75 = 2,564.64/x
  3. Step 3: Cross multiply
    3,892.62x = 5,367.75 × 2,564.64
  4. Step 4: Simplify right side
    3,892.62x = 13,766,346.36
  5. Step 5: Solve for x
    x = 13,766,346.36/3,892.62
  6. Step 6: Final answer
    x = 3,536.52

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