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Finding the Fourth Proportional to 3,883.14, 5,823.74 and 1,109.83

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Solution

The fourth proportional to 3,883.14, 5,823.74 and 1,109.83 is: 1,664.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.14 : 5,823.74 = 1,109.83 : x
  2. Step 2: Convert to fraction form
    3,883.14/5,823.74 = 1,109.83/x
  3. Step 3: Cross multiply
    3,883.14x = 5,823.74 × 1,109.83
  4. Step 4: Simplify right side
    3,883.14x = 6,463,355.82
  5. Step 5: Solve for x
    x = 6,463,355.82/3,883.14
  6. Step 6: Final answer
    x = 1,664.47

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