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Finding the Fourth Proportional to 3,517.76, 5,277.56 and 2,057.94

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Solution

The fourth proportional to 3,517.76, 5,277.56 and 2,057.94 is: 3,087.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.76 : 5,277.56 = 2,057.94 : x
  2. Step 2: Convert to fraction form
    3,517.76/5,277.56 = 2,057.94/x
  3. Step 3: Cross multiply
    3,517.76x = 5,277.56 × 2,057.94
  4. Step 4: Simplify right side
    3,517.76x = 10,860,891.54
  5. Step 5: Solve for x
    x = 10,860,891.54/3,517.76
  6. Step 6: Final answer
    x = 3,087.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.