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Finding the Fourth Proportional to 4,634.53, 6,949.67 and 2,000.78

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Solution

The fourth proportional to 4,634.53, 6,949.67 and 2,000.78 is: 3,000.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,634.53 : 6,949.67 = 2,000.78 : x
  2. Step 2: Convert to fraction form
    4,634.53/6,949.67 = 2,000.78/x
  3. Step 3: Cross multiply
    4,634.53x = 6,949.67 × 2,000.78
  4. Step 4: Simplify right side
    4,634.53x = 13,904,781.14
  5. Step 5: Solve for x
    x = 13,904,781.14/4,634.53
  6. Step 6: Final answer
    x = 3,000.25

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