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Finding the Fourth Proportional to 4,259.62, 6,389.97 and 1,664.38

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Solution

The fourth proportional to 4,259.62, 6,389.97 and 1,664.38 is: 2,496.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,259.62 : 6,389.97 = 1,664.38 : x
  2. Step 2: Convert to fraction form
    4,259.62/6,389.97 = 1,664.38/x
  3. Step 3: Cross multiply
    4,259.62x = 6,389.97 × 1,664.38
  4. Step 4: Simplify right side
    4,259.62x = 10,635,338.27
  5. Step 5: Solve for x
    x = 10,635,338.27/4,259.62
  6. Step 6: Final answer
    x = 2,496.78

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