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Finding the Fourth Proportional to 3,778.47, 5,214.42 and 2,099.97

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Solution

The fourth proportional to 3,778.47, 5,214.42 and 2,099.97 is: 2,898.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.47 : 5,214.42 = 2,099.97 : x
  2. Step 2: Convert to fraction form
    3,778.47/5,214.42 = 2,099.97/x
  3. Step 3: Cross multiply
    3,778.47x = 5,214.42 × 2,099.97
  4. Step 4: Simplify right side
    3,778.47x = 10,950,125.57
  5. Step 5: Solve for x
    x = 10,950,125.57/3,778.47
  6. Step 6: Final answer
    x = 2,898.03

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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.