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Finding the Fourth Proportional to 3,770.26, 5,202.96 and 2,114.26

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Solution

The fourth proportional to 3,770.26, 5,202.96 and 2,114.26 is: 2,917.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.26 : 5,202.96 = 2,114.26 : x
  2. Step 2: Convert to fraction form
    3,770.26/5,202.96 = 2,114.26/x
  3. Step 3: Cross multiply
    3,770.26x = 5,202.96 × 2,114.26
  4. Step 4: Simplify right side
    3,770.26x = 11,000,410.21
  5. Step 5: Solve for x
    x = 11,000,410.21/3,770.26
  6. Step 6: Final answer
    x = 2,917.68

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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.