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Finding the Fourth Proportional to 5,978.24, 8,963.77 and 2,280.75

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Solution

The fourth proportional to 5,978.24, 8,963.77 and 2,280.75 is: 3,419.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.24 : 8,963.77 = 2,280.75 : x
  2. Step 2: Convert to fraction form
    5,978.24/8,963.77 = 2,280.75/x
  3. Step 3: Cross multiply
    5,978.24x = 8,963.77 × 2,280.75
  4. Step 4: Simplify right side
    5,978.24x = 20,444,118.43
  5. Step 5: Solve for x
    x = 20,444,118.43/5,978.24
  6. Step 6: Final answer
    x = 3,419.76

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