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Finding the Fourth Proportional to 3,845.78, 5,767.71 and 1,072.34

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Solution

The fourth proportional to 3,845.78, 5,767.71 and 1,072.34 is: 1,608.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.78 : 5,767.71 = 1,072.34 : x
  2. Step 2: Convert to fraction form
    3,845.78/5,767.71 = 1,072.34/x
  3. Step 3: Cross multiply
    3,845.78x = 5,767.71 × 1,072.34
  4. Step 4: Simplify right side
    3,845.78x = 6,184,934.91
  5. Step 5: Solve for x
    x = 6,184,934.91/3,845.78
  6. Step 6: Final answer
    x = 1,608.24

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