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Finding the Fourth Proportional to 5,314.92, 7,972.38 and 3,840.36

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Solution

The fourth proportional to 5,314.92, 7,972.38 and 3,840.36 is: 5,760.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.92 : 7,972.38 = 3,840.36 : x
  2. Step 2: Convert to fraction form
    5,314.92/7,972.38 = 3,840.36/x
  3. Step 3: Cross multiply
    5,314.92x = 7,972.38 × 3,840.36
  4. Step 4: Simplify right side
    5,314.92x = 30,616,809.26
  5. Step 5: Solve for x
    x = 30,616,809.26/5,314.92
  6. Step 6: Final answer
    x = 5,760.54

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