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Finding the Fourth Proportional to 3,589.04, 5,382.12 and 1,280.24

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Solution

The fourth proportional to 3,589.04, 5,382.12 and 1,280.24 is: 1,919.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.04 : 5,382.12 = 1,280.24 : x
  2. Step 2: Convert to fraction form
    3,589.04/5,382.12 = 1,280.24/x
  3. Step 3: Cross multiply
    3,589.04x = 5,382.12 × 1,280.24
  4. Step 4: Simplify right side
    3,589.04x = 6,890,405.31
  5. Step 5: Solve for x
    x = 6,890,405.31/3,589.04
  6. Step 6: Final answer
    x = 1,919.85

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