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Finding the Fourth Proportional to 3,770.07, 5,202.57 and 2,277.73

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Solution

The fourth proportional to 3,770.07, 5,202.57 and 2,277.73 is: 3,143.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.07 : 5,202.57 = 2,277.73 : x
  2. Step 2: Convert to fraction form
    3,770.07/5,202.57 = 2,277.73/x
  3. Step 3: Cross multiply
    3,770.07x = 5,202.57 × 2,277.73
  4. Step 4: Simplify right side
    3,770.07x = 11,850,023.75
  5. Step 5: Solve for x
    x = 11,850,023.75/3,770.07
  6. Step 6: Final answer
    x = 3,143.18

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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.