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Finding the Fourth Proportional to 3,778.75, 5,214.28 and 2,099.88

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Solution

The fourth proportional to 3,778.75, 5,214.28 and 2,099.88 is: 2,897.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.75 : 5,214.28 = 2,099.88 : x
  2. Step 2: Convert to fraction form
    3,778.75/5,214.28 = 2,099.88/x
  3. Step 3: Cross multiply
    3,778.75x = 5,214.28 × 2,099.88
  4. Step 4: Simplify right side
    3,778.75x = 10,949,369.22
  5. Step 5: Solve for x
    x = 10,949,369.22/3,778.75
  6. Step 6: Final answer
    x = 2,897.62

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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.