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Finding the Fourth Proportional to 4,136.76, 6,203.52 and 1,538.28

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Solution

The fourth proportional to 4,136.76, 6,203.52 and 1,538.28 is: 2,306.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.76 : 6,203.52 = 1,538.28 : x
  2. Step 2: Convert to fraction form
    4,136.76/6,203.52 = 1,538.28/x
  3. Step 3: Cross multiply
    4,136.76x = 6,203.52 × 1,538.28
  4. Step 4: Simplify right side
    4,136.76x = 9,542,750.75
  5. Step 5: Solve for x
    x = 9,542,750.75/4,136.76
  6. Step 6: Final answer
    x = 2,306.82

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