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Finding the Fourth Proportional to 5,204.14, 7,805.44 and 1,916.47

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Solution

The fourth proportional to 5,204.14, 7,805.44 and 1,916.47 is: 2,874.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.14 : 7,805.44 = 1,916.47 : x
  2. Step 2: Convert to fraction form
    5,204.14/7,805.44 = 1,916.47/x
  3. Step 3: Cross multiply
    5,204.14x = 7,805.44 × 1,916.47
  4. Step 4: Simplify right side
    5,204.14x = 14,958,891.60
  5. Step 5: Solve for x
    x = 14,958,891.60/5,204.14
  6. Step 6: Final answer
    x = 2,874.42

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