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Finding the Fourth Proportional to 3,664.61, 5,497.36 and 1,198.76

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Solution

The fourth proportional to 3,664.61, 5,497.36 and 1,198.76 is: 1,798.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.61 : 5,497.36 = 1,198.76 : x
  2. Step 2: Convert to fraction form
    3,664.61/5,497.36 = 1,198.76/x
  3. Step 3: Cross multiply
    3,664.61x = 5,497.36 × 1,198.76
  4. Step 4: Simplify right side
    3,664.61x = 6,590,015.27
  5. Step 5: Solve for x
    x = 6,590,015.27/3,664.61
  6. Step 6: Final answer
    x = 1,798.29

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