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Finding the Fourth Proportional to 5,338.02, 8,007.84 and 2,564.16

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Solution

The fourth proportional to 5,338.02, 8,007.84 and 2,564.16 is: 3,846.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.02 : 8,007.84 = 2,564.16 : x
  2. Step 2: Convert to fraction form
    5,338.02/8,007.84 = 2,564.16/x
  3. Step 3: Cross multiply
    5,338.02x = 8,007.84 × 2,564.16
  4. Step 4: Simplify right side
    5,338.02x = 20,533,383.01
  5. Step 5: Solve for x
    x = 20,533,383.01/5,338.02
  6. Step 6: Final answer
    x = 3,846.63

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