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Finding the Fourth Proportional to 3,974.57, 5,962.20 and 1,509.40

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Solution

The fourth proportional to 3,974.57, 5,962.20 and 1,509.40 is: 2,264.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.57 : 5,962.20 = 1,509.40 : x
  2. Step 2: Convert to fraction form
    3,974.57/5,962.20 = 1,509.40/x
  3. Step 3: Cross multiply
    3,974.57x = 5,962.20 × 1,509.40
  4. Step 4: Simplify right side
    3,974.57x = 8,999,344.68
  5. Step 5: Solve for x
    x = 8,999,344.68/3,974.57
  6. Step 6: Final answer
    x = 2,264.23

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