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Finding the Fourth Proportional to 3,949.23, 5,448.23 and 2,270.26

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Solution

The fourth proportional to 3,949.23, 5,448.23 and 2,270.26 is: 3,131.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,949.23 : 5,448.23 = 2,270.26 : x
  2. Step 2: Convert to fraction form
    3,949.23/5,448.23 = 2,270.26/x
  3. Step 3: Cross multiply
    3,949.23x = 5,448.23 × 2,270.26
  4. Step 4: Simplify right side
    3,949.23x = 12,368,871.40
  5. Step 5: Solve for x
    x = 12,368,871.40/3,949.23
  6. Step 6: Final answer
    x = 3,131.97

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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.