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Finding the Fourth Proportional to 3,677.62, 5,517.79 and 1,704.19

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Solution

The fourth proportional to 3,677.62, 5,517.79 and 1,704.19 is: 2,556.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.62 : 5,517.79 = 1,704.19 : x
  2. Step 2: Convert to fraction form
    3,677.62/5,517.79 = 1,704.19/x
  3. Step 3: Cross multiply
    3,677.62x = 5,517.79 × 1,704.19
  4. Step 4: Simplify right side
    3,677.62x = 9,403,362.54
  5. Step 5: Solve for x
    x = 9,403,362.54/3,677.62
  6. Step 6: Final answer
    x = 2,556.92

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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.