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Finding the Fourth Proportional to 3,778.65, 5,214.24 and 2,206.44

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Solution

The fourth proportional to 3,778.65, 5,214.24 and 2,206.44 is: 3,044.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.65 : 5,214.24 = 2,206.44 : x
  2. Step 2: Convert to fraction form
    3,778.65/5,214.24 = 2,206.44/x
  3. Step 3: Cross multiply
    3,778.65x = 5,214.24 × 2,206.44
  4. Step 4: Simplify right side
    3,778.65x = 11,504,907.71
  5. Step 5: Solve for x
    x = 11,504,907.71/3,778.65
  6. Step 6: Final answer
    x = 3,044.71

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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.