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Finding the Fourth Proportional to 3,664.31, 5,497.47 and 1,583.42

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Solution

The fourth proportional to 3,664.31, 5,497.47 and 1,583.42 is: 2,375.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.31 : 5,497.47 = 1,583.42 : x
  2. Step 2: Convert to fraction form
    3,664.31/5,497.47 = 1,583.42/x
  3. Step 3: Cross multiply
    3,664.31x = 5,497.47 × 1,583.42
  4. Step 4: Simplify right side
    3,664.31x = 8,704,776.46
  5. Step 5: Solve for x
    x = 8,704,776.46/3,664.31
  6. Step 6: Final answer
    x = 2,375.56

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