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Finding the Fourth Proportional to 3,838.43, 5,297.23 and 2,266.49

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Solution

The fourth proportional to 3,838.43, 5,297.23 and 2,266.49 is: 3,127.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.43 : 5,297.23 = 2,266.49 : x
  2. Step 2: Convert to fraction form
    3,838.43/5,297.23 = 2,266.49/x
  3. Step 3: Cross multiply
    3,838.43x = 5,297.23 × 2,266.49
  4. Step 4: Simplify right side
    3,838.43x = 12,006,134.90
  5. Step 5: Solve for x
    x = 12,006,134.90/3,838.43
  6. Step 6: Final answer
    x = 3,127.87

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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.