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Finding the Fourth Proportional to 3,687.72, 5,087.82 and 2,094.21

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Solution

The fourth proportional to 3,687.72, 5,087.82 and 2,094.21 is: 2,889.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.72 : 5,087.82 = 2,094.21 : x
  2. Step 2: Convert to fraction form
    3,687.72/5,087.82 = 2,094.21/x
  3. Step 3: Cross multiply
    3,687.72x = 5,087.82 × 2,094.21
  4. Step 4: Simplify right side
    3,687.72x = 10,654,963.52
  5. Step 5: Solve for x
    x = 10,654,963.52/3,687.72
  6. Step 6: Final answer
    x = 2,889.31

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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.