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Finding the Fourth Proportional to 5,204.94, 7,806.54 and 2,431.90

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Solution

The fourth proportional to 5,204.94, 7,806.54 and 2,431.90 is: 3,647.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.94 : 7,806.54 = 2,431.90 : x
  2. Step 2: Convert to fraction form
    5,204.94/7,806.54 = 2,431.90/x
  3. Step 3: Cross multiply
    5,204.94x = 7,806.54 × 2,431.90
  4. Step 4: Simplify right side
    5,204.94x = 18,984,724.63
  5. Step 5: Solve for x
    x = 18,984,724.63/5,204.94
  6. Step 6: Final answer
    x = 3,647.44

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