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Finding the Fourth Proportional to 5,198.85, 7,798.34 and 1,736.10

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Solution

The fourth proportional to 5,198.85, 7,798.34 and 1,736.10 is: 2,604.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.85 : 7,798.34 = 1,736.10 : x
  2. Step 2: Convert to fraction form
    5,198.85/7,798.34 = 1,736.10/x
  3. Step 3: Cross multiply
    5,198.85x = 7,798.34 × 1,736.10
  4. Step 4: Simplify right side
    5,198.85x = 13,538,650.40
  5. Step 5: Solve for x
    x = 13,538,650.40/5,198.85
  6. Step 6: Final answer
    x = 2,604.17

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