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Finding the Fourth Proportional to 3,778.22, 5,213.84 and 2,099.58

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Solution

The fourth proportional to 3,778.22, 5,213.84 and 2,099.58 is: 2,897.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.22 : 5,213.84 = 2,099.58 : x
  2. Step 2: Convert to fraction form
    3,778.22/5,213.84 = 2,099.58/x
  3. Step 3: Cross multiply
    3,778.22x = 5,213.84 × 2,099.58
  4. Step 4: Simplify right side
    3,778.22x = 10,946,863.69
  5. Step 5: Solve for x
    x = 10,946,863.69/3,778.22
  6. Step 6: Final answer
    x = 2,897.36

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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.