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Finding the Fourth Proportional to 3,845.25, 5,768.84 and 1,109.25

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Solution

The fourth proportional to 3,845.25, 5,768.84 and 1,109.25 is: 1,664.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.25 : 5,768.84 = 1,109.25 : x
  2. Step 2: Convert to fraction form
    3,845.25/5,768.84 = 1,109.25/x
  3. Step 3: Cross multiply
    3,845.25x = 5,768.84 × 1,109.25
  4. Step 4: Simplify right side
    3,845.25x = 6,399,080.22
  5. Step 5: Solve for x
    x = 6,399,080.22/3,845.25
  6. Step 6: Final answer
    x = 1,664.15

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