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Finding the Fourth Proportional to 5,109.70, 7,658.13 and 2,184.56

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Solution

The fourth proportional to 5,109.70, 7,658.13 and 2,184.56 is: 3,274.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.70 : 7,658.13 = 2,184.56 : x
  2. Step 2: Convert to fraction form
    5,109.70/7,658.13 = 2,184.56/x
  3. Step 3: Cross multiply
    5,109.70x = 7,658.13 × 2,184.56
  4. Step 4: Simplify right side
    5,109.70x = 16,729,644.47
  5. Step 5: Solve for x
    x = 16,729,644.47/5,109.70
  6. Step 6: Final answer
    x = 3,274.10

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