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Finding the Fourth Proportional to 5,314.31, 7,971.87 and 1,616.81

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Solution

The fourth proportional to 5,314.31, 7,971.87 and 1,616.81 is: 2,425.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.31 : 7,971.87 = 1,616.81 : x
  2. Step 2: Convert to fraction form
    5,314.31/7,971.87 = 1,616.81/x
  3. Step 3: Cross multiply
    5,314.31x = 7,971.87 × 1,616.81
  4. Step 4: Simplify right side
    5,314.31x = 12,889,001.09
  5. Step 5: Solve for x
    x = 12,889,001.09/5,314.31
  6. Step 6: Final answer
    x = 2,425.34

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