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Finding the Fourth Proportional to 3,120.78, 4,680.23 and 2,571.60

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Solution

The fourth proportional to 3,120.78, 4,680.23 and 2,571.60 is: 3,856.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120.78 : 4,680.23 = 2,571.60 : x
  2. Step 2: Convert to fraction form
    3,120.78/4,680.23 = 2,571.60/x
  3. Step 3: Cross multiply
    3,120.78x = 4,680.23 × 2,571.60
  4. Step 4: Simplify right side
    3,120.78x = 12,035,679.47
  5. Step 5: Solve for x
    x = 12,035,679.47/3,120.78
  6. Step 6: Final answer
    x = 3,856.63

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