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Finding the Fourth Proportional to 5,216.54, 7,824.74 and 2,257.08

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Solution

The fourth proportional to 5,216.54, 7,824.74 and 2,257.08 is: 3,385.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.54 : 7,824.74 = 2,257.08 : x
  2. Step 2: Convert to fraction form
    5,216.54/7,824.74 = 2,257.08/x
  3. Step 3: Cross multiply
    5,216.54x = 7,824.74 × 2,257.08
  4. Step 4: Simplify right side
    5,216.54x = 17,661,064.16
  5. Step 5: Solve for x
    x = 17,661,064.16/5,216.54
  6. Step 6: Final answer
    x = 3,385.59

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