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Finding the Fourth Proportional to 3,942.59, 5,435.12 and 3,101.84

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Solution

The fourth proportional to 3,942.59, 5,435.12 and 3,101.84 is: 4,276.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.59 : 5,435.12 = 3,101.84 : x
  2. Step 2: Convert to fraction form
    3,942.59/5,435.12 = 3,101.84/x
  3. Step 3: Cross multiply
    3,942.59x = 5,435.12 × 3,101.84
  4. Step 4: Simplify right side
    3,942.59x = 16,858,878.45
  5. Step 5: Solve for x
    x = 16,858,878.45/3,942.59
  6. Step 6: Final answer
    x = 4,276.09

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