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Finding the Fourth Proportional to 3,954.13, 5,456.22 and 2,185.49

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Solution

The fourth proportional to 3,954.13, 5,456.22 and 2,185.49 is: 3,015.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.13 : 5,456.22 = 2,185.49 : x
  2. Step 2: Convert to fraction form
    3,954.13/5,456.22 = 2,185.49/x
  3. Step 3: Cross multiply
    3,954.13x = 5,456.22 × 2,185.49
  4. Step 4: Simplify right side
    3,954.13x = 11,924,514.25
  5. Step 5: Solve for x
    x = 11,924,514.25/3,954.13
  6. Step 6: Final answer
    x = 3,015.71

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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.