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Finding the Fourth Proportional to 4,206.65, 6,306.44 and 2,815.74

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Solution

The fourth proportional to 4,206.65, 6,306.44 and 2,815.74 is: 4,221.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.65 : 6,306.44 = 2,815.74 : x
  2. Step 2: Convert to fraction form
    4,206.65/6,306.44 = 2,815.74/x
  3. Step 3: Cross multiply
    4,206.65x = 6,306.44 × 2,815.74
  4. Step 4: Simplify right side
    4,206.65x = 17,757,295.37
  5. Step 5: Solve for x
    x = 17,757,295.37/4,206.65
  6. Step 6: Final answer
    x = 4,221.24

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