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Finding the Fourth Proportional to 5,144.78, 7,706.75 and 3,829.95

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Solution

The fourth proportional to 5,144.78, 7,706.75 and 3,829.95 is: 5,737.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.78 : 7,706.75 = 3,829.95 : x
  2. Step 2: Convert to fraction form
    5,144.78/7,706.75 = 3,829.95/x
  3. Step 3: Cross multiply
    5,144.78x = 7,706.75 × 3,829.95
  4. Step 4: Simplify right side
    5,144.78x = 29,516,448.01
  5. Step 5: Solve for x
    x = 29,516,448.01/5,144.78
  6. Step 6: Final answer
    x = 5,737.16

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