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Finding the Fourth Proportional to 2,822.56, 4,235.28 and 2,416.48

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Solution

The fourth proportional to 2,822.56, 4,235.28 and 2,416.48 is: 3,625.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.56 : 4,235.28 = 2,416.48 : x
  2. Step 2: Convert to fraction form
    2,822.56/4,235.28 = 2,416.48/x
  3. Step 3: Cross multiply
    2,822.56x = 4,235.28 × 2,416.48
  4. Step 4: Simplify right side
    2,822.56x = 10,234,469.41
  5. Step 5: Solve for x
    x = 10,234,469.41/2,822.56
  6. Step 6: Final answer
    x = 3,625.95

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