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Finding the Fourth Proportional to 3,950.27, 5,451.10 and 2,270.46

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Solution

The fourth proportional to 3,950.27, 5,451.10 and 2,270.46 is: 3,133.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,950.27 : 5,451.10 = 2,270.46 : x
  2. Step 2: Convert to fraction form
    3,950.27/5,451.10 = 2,270.46/x
  3. Step 3: Cross multiply
    3,950.27x = 5,451.10 × 2,270.46
  4. Step 4: Simplify right side
    3,950.27x = 12,376,473.28
  5. Step 5: Solve for x
    x = 12,376,473.28/3,950.27
  6. Step 6: Final answer
    x = 3,133.07

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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.