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Finding the Fourth Proportional to 3,942.61, 5,908.75 and 2,089.80

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Solution

The fourth proportional to 3,942.61, 5,908.75 and 2,089.80 is: 3,131.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.61 : 5,908.75 = 2,089.80 : x
  2. Step 2: Convert to fraction form
    3,942.61/5,908.75 = 2,089.80/x
  3. Step 3: Cross multiply
    3,942.61x = 5,908.75 × 2,089.80
  4. Step 4: Simplify right side
    3,942.61x = 12,348,100.53
  5. Step 5: Solve for x
    x = 12,348,100.53/3,942.61
  6. Step 6: Final answer
    x = 3,131.96

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