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Finding the Fourth Proportional to 5,724.93, 7,898.61 and 3,206.70

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Solution

The fourth proportional to 5,724.93, 7,898.61 and 3,206.70 is: 4,424.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.93 : 7,898.61 = 3,206.70 : x
  2. Step 2: Convert to fraction form
    5,724.93/7,898.61 = 3,206.70/x
  3. Step 3: Cross multiply
    5,724.93x = 7,898.61 × 3,206.70
  4. Step 4: Simplify right side
    5,724.93x = 25,328,472.69
  5. Step 5: Solve for x
    x = 25,328,472.69/5,724.93
  6. Step 6: Final answer
    x = 4,424.24

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