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Finding the Fourth Proportional to 4,564.80, 6,835.05 and 2,912.40

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Solution

The fourth proportional to 4,564.80, 6,835.05 and 2,912.40 is: 4,360.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.80 : 6,835.05 = 2,912.40 : x
  2. Step 2: Convert to fraction form
    4,564.80/6,835.05 = 2,912.40/x
  3. Step 3: Cross multiply
    4,564.80x = 6,835.05 × 2,912.40
  4. Step 4: Simplify right side
    4,564.80x = 19,906,399.62
  5. Step 5: Solve for x
    x = 19,906,399.62/4,564.80
  6. Step 6: Final answer
    x = 4,360.85

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