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Finding the Fourth Proportional to 3,949.86, 5,450.19 and 2,271.34

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Solution

The fourth proportional to 3,949.86, 5,450.19 and 2,271.34 is: 3,134.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,949.86 : 5,450.19 = 2,271.34 : x
  2. Step 2: Convert to fraction form
    3,949.86/5,450.19 = 2,271.34/x
  3. Step 3: Cross multiply
    3,949.86x = 5,450.19 × 2,271.34
  4. Step 4: Simplify right side
    3,949.86x = 12,379,232.85
  5. Step 5: Solve for x
    x = 12,379,232.85/3,949.86
  6. Step 6: Final answer
    x = 3,134.09

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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.