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Finding the Fourth Proportional to 3,664.56, 5,494.78 and 1,583.26

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Solution

The fourth proportional to 3,664.56, 5,494.78 and 1,583.26 is: 2,374.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.56 : 5,494.78 = 1,583.26 : x
  2. Step 2: Convert to fraction form
    3,664.56/5,494.78 = 1,583.26/x
  3. Step 3: Cross multiply
    3,664.56x = 5,494.78 × 1,583.26
  4. Step 4: Simplify right side
    3,664.56x = 8,699,679.12
  5. Step 5: Solve for x
    x = 8,699,679.12/3,664.56
  6. Step 6: Final answer
    x = 2,374.01

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