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Finding the Fourth Proportional to 3,777.71, 5,213.19 and 2,099.18

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Solution

The fourth proportional to 3,777.71, 5,213.19 and 2,099.18 is: 2,896.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.71 : 5,213.19 = 2,099.18 : x
  2. Step 2: Convert to fraction form
    3,777.71/5,213.19 = 2,099.18/x
  3. Step 3: Cross multiply
    3,777.71x = 5,213.19 × 2,099.18
  4. Step 4: Simplify right side
    3,777.71x = 10,943,445.09
  5. Step 5: Solve for x
    x = 10,943,445.09/3,777.71
  6. Step 6: Final answer
    x = 2,896.85

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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.