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Finding the Fourth Proportional to 3,777.67, 5,213.11 and 2,099.01

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Solution

The fourth proportional to 3,777.67, 5,213.11 and 2,099.01 is: 2,896.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.67 : 5,213.11 = 2,099.01 : x
  2. Step 2: Convert to fraction form
    3,777.67/5,213.11 = 2,099.01/x
  3. Step 3: Cross multiply
    3,777.67x = 5,213.11 × 2,099.01
  4. Step 4: Simplify right side
    3,777.67x = 10,942,370.02
  5. Step 5: Solve for x
    x = 10,942,370.02/3,777.67
  6. Step 6: Final answer
    x = 2,896.59

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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.