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Finding the Fourth Proportional to 3,738.82, 5,159.57 and 2,167.82

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Solution

The fourth proportional to 3,738.82, 5,159.57 and 2,167.82 is: 2,991.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.82 : 5,159.57 = 2,167.82 : x
  2. Step 2: Convert to fraction form
    3,738.82/5,159.57 = 2,167.82/x
  3. Step 3: Cross multiply
    3,738.82x = 5,159.57 × 2,167.82
  4. Step 4: Simplify right side
    3,738.82x = 11,185,008.20
  5. Step 5: Solve for x
    x = 11,185,008.20/3,738.82
  6. Step 6: Final answer
    x = 2,991.59

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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.