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Finding the Fourth Proportional to 3,294.80, 4,942.20 and 3,077.20

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Solution

The fourth proportional to 3,294.80, 4,942.20 and 3,077.20 is: 4,615.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.80 : 4,942.20 = 3,077.20 : x
  2. Step 2: Convert to fraction form
    3,294.80/4,942.20 = 3,077.20/x
  3. Step 3: Cross multiply
    3,294.80x = 4,942.20 × 3,077.20
  4. Step 4: Simplify right side
    3,294.80x = 15,208,137.84
  5. Step 5: Solve for x
    x = 15,208,137.84/3,294.80
  6. Step 6: Final answer
    x = 4,615.80

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