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Finding the Fourth Proportional to 3,845.75, 5,768.39 and 1,505.33

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Solution

The fourth proportional to 3,845.75, 5,768.39 and 1,505.33 is: 2,257.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.75 : 5,768.39 = 1,505.33 : x
  2. Step 2: Convert to fraction form
    3,845.75/5,768.39 = 1,505.33/x
  3. Step 3: Cross multiply
    3,845.75x = 5,768.39 × 1,505.33
  4. Step 4: Simplify right side
    3,845.75x = 8,683,305.44
  5. Step 5: Solve for x
    x = 8,683,305.44/3,845.75
  6. Step 6: Final answer
    x = 2,257.90

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