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Finding the Fourth Proportional to 3,777.62, 5,213.96 and 2,099.61

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Solution

The fourth proportional to 3,777.62, 5,213.96 and 2,099.61 is: 2,897.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.62 : 5,213.96 = 2,099.61 : x
  2. Step 2: Convert to fraction form
    3,777.62/5,213.96 = 2,099.61/x
  3. Step 3: Cross multiply
    3,777.62x = 5,213.96 × 2,099.61
  4. Step 4: Simplify right side
    3,777.62x = 10,947,272.06
  5. Step 5: Solve for x
    x = 10,947,272.06/3,777.62
  6. Step 6: Final answer
    x = 2,897.93

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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.