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Finding the Fourth Proportional to 3,778.65, 5,214.33 and 2,099.97

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Solution

The fourth proportional to 3,778.65, 5,214.33 and 2,099.97 is: 2,897.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.65 : 5,214.33 = 2,099.97 : x
  2. Step 2: Convert to fraction form
    3,778.65/5,214.33 = 2,099.97/x
  3. Step 3: Cross multiply
    3,778.65x = 5,214.33 × 2,099.97
  4. Step 4: Simplify right side
    3,778.65x = 10,949,936.57
  5. Step 5: Solve for x
    x = 10,949,936.57/3,778.65
  6. Step 6: Final answer
    x = 2,897.84

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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.