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Finding the Fourth Proportional to 5,167.05, 7,754.09 and 3,408.27

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Solution

The fourth proportional to 5,167.05, 7,754.09 and 3,408.27 is: 5,114.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.05 : 7,754.09 = 3,408.27 : x
  2. Step 2: Convert to fraction form
    5,167.05/7,754.09 = 3,408.27/x
  3. Step 3: Cross multiply
    5,167.05x = 7,754.09 × 3,408.27
  4. Step 4: Simplify right side
    5,167.05x = 26,428,015.28
  5. Step 5: Solve for x
    x = 26,428,015.28/5,167.05
  6. Step 6: Final answer
    x = 5,114.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.