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Finding the Fourth Proportional to 5,683.80, 7,838.46 and 3,584.28

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Solution

The fourth proportional to 5,683.80, 7,838.46 and 3,584.28 is: 4,943.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.80 : 7,838.46 = 3,584.28 : x
  2. Step 2: Convert to fraction form
    5,683.80/7,838.46 = 3,584.28/x
  3. Step 3: Cross multiply
    5,683.80x = 7,838.46 × 3,584.28
  4. Step 4: Simplify right side
    5,683.80x = 28,095,235.41
  5. Step 5: Solve for x
    x = 28,095,235.41/5,683.80
  6. Step 6: Final answer
    x = 4,943.04

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