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Finding the Fourth Proportional to 3,380.96, 4,655.28 and 2,584.96

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Solution

The fourth proportional to 3,380.96, 4,655.28 and 2,584.96 is: 3,559.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.96 : 4,655.28 = 2,584.96 : x
  2. Step 2: Convert to fraction form
    3,380.96/4,655.28 = 2,584.96/x
  3. Step 3: Cross multiply
    3,380.96x = 4,655.28 × 2,584.96
  4. Step 4: Simplify right side
    3,380.96x = 12,033,712.59
  5. Step 5: Solve for x
    x = 12,033,712.59/3,380.96
  6. Step 6: Final answer
    x = 3,559.26

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