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Finding the Fourth Proportional to 3,783.92, 5,221.71 and 2,105.33

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Solution

The fourth proportional to 3,783.92, 5,221.71 and 2,105.33 is: 2,905.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.92 : 5,221.71 = 2,105.33 : x
  2. Step 2: Convert to fraction form
    3,783.92/5,221.71 = 2,105.33/x
  3. Step 3: Cross multiply
    3,783.92x = 5,221.71 × 2,105.33
  4. Step 4: Simplify right side
    3,783.92x = 10,993,396.61
  5. Step 5: Solve for x
    x = 10,993,396.61/3,783.92
  6. Step 6: Final answer
    x = 2,905.30

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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.