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Finding the Fourth Proportional to 3,285.78, 4,930.20 and 1,642.44

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Solution

The fourth proportional to 3,285.78, 4,930.20 and 1,642.44 is: 2,464.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.78 : 4,930.20 = 1,642.44 : x
  2. Step 2: Convert to fraction form
    3,285.78/4,930.20 = 1,642.44/x
  3. Step 3: Cross multiply
    3,285.78x = 4,930.20 × 1,642.44
  4. Step 4: Simplify right side
    3,285.78x = 8,097,557.69
  5. Step 5: Solve for x
    x = 8,097,557.69/3,285.78
  6. Step 6: Final answer
    x = 2,464.42

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