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Finding the Fourth Proportional to 3,769.72, 5,202.70 and 2,114.04

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Solution

The fourth proportional to 3,769.72, 5,202.70 and 2,114.04 is: 2,917.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.72 : 5,202.70 = 2,114.04 : x
  2. Step 2: Convert to fraction form
    3,769.72/5,202.70 = 2,114.04/x
  3. Step 3: Cross multiply
    3,769.72x = 5,202.70 × 2,114.04
  4. Step 4: Simplify right side
    3,769.72x = 10,998,715.91
  5. Step 5: Solve for x
    x = 10,998,715.91/3,769.72
  6. Step 6: Final answer
    x = 2,917.65

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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.