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Finding the Fourth Proportional to 3,950.46, 5,450.96 and 2,271.26

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Solution

The fourth proportional to 3,950.46, 5,450.96 and 2,271.26 is: 3,133.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,950.46 : 5,450.96 = 2,271.26 : x
  2. Step 2: Convert to fraction form
    3,950.46/5,450.96 = 2,271.26/x
  3. Step 3: Cross multiply
    3,950.46x = 5,450.96 × 2,271.26
  4. Step 4: Simplify right side
    3,950.46x = 12,380,547.41
  5. Step 5: Solve for x
    x = 12,380,547.41/3,950.46
  6. Step 6: Final answer
    x = 3,133.95

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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.