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Finding the Fourth Proportional to 4,647.36, 6,964.71 and 2,564.25

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Solution

The fourth proportional to 4,647.36, 6,964.71 and 2,564.25 is: 3,842.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.36 : 6,964.71 = 2,564.25 : x
  2. Step 2: Convert to fraction form
    4,647.36/6,964.71 = 2,564.25/x
  3. Step 3: Cross multiply
    4,647.36x = 6,964.71 × 2,564.25
  4. Step 4: Simplify right side
    4,647.36x = 17,859,257.62
  5. Step 5: Solve for x
    x = 17,859,257.62/4,647.36
  6. Step 6: Final answer
    x = 3,842.88

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