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Finding the Fourth Proportional to 5,200.09, 7,795.74 and 2,425.30

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Solution

The fourth proportional to 5,200.09, 7,795.74 and 2,425.30 is: 3,635.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.09 : 7,795.74 = 2,425.30 : x
  2. Step 2: Convert to fraction form
    5,200.09/7,795.74 = 2,425.30/x
  3. Step 3: Cross multiply
    5,200.09x = 7,795.74 × 2,425.30
  4. Step 4: Simplify right side
    5,200.09x = 18,906,997.83
  5. Step 5: Solve for x
    x = 18,906,997.83/5,200.09
  6. Step 6: Final answer
    x = 3,635.90

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