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Finding the Fourth Proportional to 3,910.46, 5,401.23 and 3,165.26

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Solution

The fourth proportional to 3,910.46, 5,401.23 and 3,165.26 is: 4,371.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910.46 : 5,401.23 = 3,165.26 : x
  2. Step 2: Convert to fraction form
    3,910.46/5,401.23 = 3,165.26/x
  3. Step 3: Cross multiply
    3,910.46x = 5,401.23 × 3,165.26
  4. Step 4: Simplify right side
    3,910.46x = 17,096,297.27
  5. Step 5: Solve for x
    x = 17,096,297.27/3,910.46
  6. Step 6: Final answer
    x = 4,371.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.