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Finding the Fourth Proportional to 5,314.25, 7,971.69 and 1,616.75

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Solution

The fourth proportional to 5,314.25, 7,971.69 and 1,616.75 is: 2,425.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.25 : 7,971.69 = 1,616.75 : x
  2. Step 2: Convert to fraction form
    5,314.25/7,971.69 = 1,616.75/x
  3. Step 3: Cross multiply
    5,314.25x = 7,971.69 × 1,616.75
  4. Step 4: Simplify right side
    5,314.25x = 12,888,225.91
  5. Step 5: Solve for x
    x = 12,888,225.91/5,314.25
  6. Step 6: Final answer
    x = 2,425.22

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