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Finding the Fourth Proportional to 3,889.73, 5,367.82 and 2,211.14

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Solution

The fourth proportional to 3,889.73, 5,367.82 and 2,211.14 is: 3,051.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.73 : 5,367.82 = 2,211.14 : x
  2. Step 2: Convert to fraction form
    3,889.73/5,367.82 = 2,211.14/x
  3. Step 3: Cross multiply
    3,889.73x = 5,367.82 × 2,211.14
  4. Step 4: Simplify right side
    3,889.73x = 11,869,001.51
  5. Step 5: Solve for x
    x = 11,869,001.51/3,889.73
  6. Step 6: Final answer
    x = 3,051.37

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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.