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Finding the Fourth Proportional to 3,817.20, 5,724.08 and 1,624.80

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Solution

The fourth proportional to 3,817.20, 5,724.08 and 1,624.80 is: 2,436.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.20 : 5,724.08 = 1,624.80 : x
  2. Step 2: Convert to fraction form
    3,817.20/5,724.08 = 1,624.80/x
  3. Step 3: Cross multiply
    3,817.20x = 5,724.08 × 1,624.80
  4. Step 4: Simplify right side
    3,817.20x = 9,300,485.18
  5. Step 5: Solve for x
    x = 9,300,485.18/3,817.20
  6. Step 6: Final answer
    x = 2,436.47

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