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Finding the Fourth Proportional to 3,770.14, 5,202.78 and 2,114.14

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Solution

The fourth proportional to 3,770.14, 5,202.78 and 2,114.14 is: 2,917.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.14 : 5,202.78 = 2,114.14 : x
  2. Step 2: Convert to fraction form
    3,770.14/5,202.78 = 2,114.14/x
  3. Step 3: Cross multiply
    3,770.14x = 5,202.78 × 2,114.14
  4. Step 4: Simplify right side
    3,770.14x = 10,999,405.31
  5. Step 5: Solve for x
    x = 10,999,405.31/3,770.14
  6. Step 6: Final answer
    x = 2,917.51

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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.