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Finding the Fourth Proportional to 3,440.82, 5,156.17 and 1,538.84

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Solution

The fourth proportional to 3,440.82, 5,156.17 and 1,538.84 is: 2,305.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,440.82 : 5,156.17 = 1,538.84 : x
  2. Step 2: Convert to fraction form
    3,440.82/5,156.17 = 1,538.84/x
  3. Step 3: Cross multiply
    3,440.82x = 5,156.17 × 1,538.84
  4. Step 4: Simplify right side
    3,440.82x = 7,934,516.12
  5. Step 5: Solve for x
    x = 7,934,516.12/3,440.82
  6. Step 6: Final answer
    x = 2,305.99

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