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Finding the Fourth Proportional to 3,415.78, 5,120.46 and 3,111.44

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Solution

The fourth proportional to 3,415.78, 5,120.46 and 3,111.44 is: 4,664.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.78 : 5,120.46 = 3,111.44 : x
  2. Step 2: Convert to fraction form
    3,415.78/5,120.46 = 3,111.44/x
  3. Step 3: Cross multiply
    3,415.78x = 5,120.46 × 3,111.44
  4. Step 4: Simplify right side
    3,415.78x = 15,932,004.06
  5. Step 5: Solve for x
    x = 15,932,004.06/3,415.78
  6. Step 6: Final answer
    x = 4,664.24

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