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Finding the Fourth Proportional to 3,778.47, 5,213.97 and 2,099.75

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Solution

The fourth proportional to 3,778.47, 5,213.97 and 2,099.75 is: 2,897.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.47 : 5,213.97 = 2,099.75 : x
  2. Step 2: Convert to fraction form
    3,778.47/5,213.97 = 2,099.75/x
  3. Step 3: Cross multiply
    3,778.47x = 5,213.97 × 2,099.75
  4. Step 4: Simplify right side
    3,778.47x = 10,948,007.44
  5. Step 5: Solve for x
    x = 10,948,007.44/3,778.47
  6. Step 6: Final answer
    x = 2,897.47

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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.