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Finding the Fourth Proportional to 3,757.77, 5,185.91 and 2,266.17

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Solution

The fourth proportional to 3,757.77, 5,185.91 and 2,266.17 is: 3,127.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.77 : 5,185.91 = 2,266.17 : x
  2. Step 2: Convert to fraction form
    3,757.77/5,185.91 = 2,266.17/x
  3. Step 3: Cross multiply
    3,757.77x = 5,185.91 × 2,266.17
  4. Step 4: Simplify right side
    3,757.77x = 11,752,153.66
  5. Step 5: Solve for x
    x = 11,752,153.66/3,757.77
  6. Step 6: Final answer
    x = 3,127.43

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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.