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Finding the Fourth Proportional to 3,928.65, 5,890.95 and 1,462.20

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Solution

The fourth proportional to 3,928.65, 5,890.95 and 1,462.20 is: 2,192.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,928.65 : 5,890.95 = 1,462.20 : x
  2. Step 2: Convert to fraction form
    3,928.65/5,890.95 = 1,462.20/x
  3. Step 3: Cross multiply
    3,928.65x = 5,890.95 × 1,462.20
  4. Step 4: Simplify right side
    3,928.65x = 8,613,747.09
  5. Step 5: Solve for x
    x = 8,613,747.09/3,928.65
  6. Step 6: Final answer
    x = 2,192.55

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