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Finding the Fourth Proportional to 5,214.94, 7,821.72 and 1,882.85

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Solution

The fourth proportional to 5,214.94, 7,821.72 and 1,882.85 is: 2,824.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.94 : 7,821.72 = 1,882.85 : x
  2. Step 2: Convert to fraction form
    5,214.94/7,821.72 = 1,882.85/x
  3. Step 3: Cross multiply
    5,214.94x = 7,821.72 × 1,882.85
  4. Step 4: Simplify right side
    5,214.94x = 14,727,086.39
  5. Step 5: Solve for x
    x = 14,727,086.39/5,214.94
  6. Step 6: Final answer
    x = 2,824.02

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