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Finding the Fourth Proportional to 3,937.35, 5,906.57 and 1,164.25

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Solution

The fourth proportional to 3,937.35, 5,906.57 and 1,164.25 is: 1,746.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.35 : 5,906.57 = 1,164.25 : x
  2. Step 2: Convert to fraction form
    3,937.35/5,906.57 = 1,164.25/x
  3. Step 3: Cross multiply
    3,937.35x = 5,906.57 × 1,164.25
  4. Step 4: Simplify right side
    3,937.35x = 6,876,724.12
  5. Step 5: Solve for x
    x = 6,876,724.12/3,937.35
  6. Step 6: Final answer
    x = 1,746.54

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