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Finding the Fourth Proportional to 3,883.64, 5,824.49 and 1,110.33

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Solution

The fourth proportional to 3,883.64, 5,824.49 and 1,110.33 is: 1,665.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.64 : 5,824.49 = 1,110.33 : x
  2. Step 2: Convert to fraction form
    3,883.64/5,824.49 = 1,110.33/x
  3. Step 3: Cross multiply
    3,883.64x = 5,824.49 × 1,110.33
  4. Step 4: Simplify right side
    3,883.64x = 6,467,100.43
  5. Step 5: Solve for x
    x = 6,467,100.43/3,883.64
  6. Step 6: Final answer
    x = 1,665.22

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