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Finding the Fourth Proportional to 3,783.81, 5,221.37 and 2,105.18

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Solution

The fourth proportional to 3,783.81, 5,221.37 and 2,105.18 is: 2,904.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.81 : 5,221.37 = 2,105.18 : x
  2. Step 2: Convert to fraction form
    3,783.81/5,221.37 = 2,105.18/x
  3. Step 3: Cross multiply
    3,783.81x = 5,221.37 × 2,105.18
  4. Step 4: Simplify right side
    3,783.81x = 10,991,902.85
  5. Step 5: Solve for x
    x = 10,991,902.85/3,783.81
  6. Step 6: Final answer
    x = 2,904.98

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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.