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Finding the Fourth Proportional to 3,777.60, 5,213.27 and 2,099.01

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Solution

The fourth proportional to 3,777.60, 5,213.27 and 2,099.01 is: 2,896.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.60 : 5,213.27 = 2,099.01 : x
  2. Step 2: Convert to fraction form
    3,777.60/5,213.27 = 2,099.01/x
  3. Step 3: Cross multiply
    3,777.60x = 5,213.27 × 2,099.01
  4. Step 4: Simplify right side
    3,777.60x = 10,942,705.86
  5. Step 5: Solve for x
    x = 10,942,705.86/3,777.60
  6. Step 6: Final answer
    x = 2,896.73

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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.