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Finding the Fourth Proportional to 5,204.28, 7,805.61 and 1,916.64

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Solution

The fourth proportional to 5,204.28, 7,805.61 and 1,916.64 is: 2,874.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.28 : 7,805.61 = 1,916.64 : x
  2. Step 2: Convert to fraction form
    5,204.28/7,805.61 = 1,916.64/x
  3. Step 3: Cross multiply
    5,204.28x = 7,805.61 × 1,916.64
  4. Step 4: Simplify right side
    5,204.28x = 14,960,544.35
  5. Step 5: Solve for x
    x = 14,960,544.35/5,204.28
  6. Step 6: Final answer
    x = 2,874.66

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