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Finding the Fourth Proportional to 3,777.26, 5,213.24 and 2,099.21

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Solution

The fourth proportional to 3,777.26, 5,213.24 and 2,099.21 is: 2,897.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.26 : 5,213.24 = 2,099.21 : x
  2. Step 2: Convert to fraction form
    3,777.26/5,213.24 = 2,099.21/x
  3. Step 3: Cross multiply
    3,777.26x = 5,213.24 × 2,099.21
  4. Step 4: Simplify right side
    3,777.26x = 10,943,648.98
  5. Step 5: Solve for x
    x = 10,943,648.98/3,777.26
  6. Step 6: Final answer
    x = 2,897.25

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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.