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Finding the Fourth Proportional to 5,218.46, 7,827.71 and 1,520.78

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Solution

The fourth proportional to 5,218.46, 7,827.71 and 1,520.78 is: 2,281.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.46 : 7,827.71 = 1,520.78 : x
  2. Step 2: Convert to fraction form
    5,218.46/7,827.71 = 1,520.78/x
  3. Step 3: Cross multiply
    5,218.46x = 7,827.71 × 1,520.78
  4. Step 4: Simplify right side
    5,218.46x = 11,904,217.21
  5. Step 5: Solve for x
    x = 11,904,217.21/5,218.46
  6. Step 6: Final answer
    x = 2,281.17

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