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Finding the Fourth Proportional to 3,891.05, 5,857.34 and 3,489.19

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Solution

The fourth proportional to 3,891.05, 5,857.34 and 3,489.19 is: 5,252.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.05 : 5,857.34 = 3,489.19 : x
  2. Step 2: Convert to fraction form
    3,891.05/5,857.34 = 3,489.19/x
  3. Step 3: Cross multiply
    3,891.05x = 5,857.34 × 3,489.19
  4. Step 4: Simplify right side
    3,891.05x = 20,437,359.69
  5. Step 5: Solve for x
    x = 20,437,359.69/3,891.05
  6. Step 6: Final answer
    x = 5,252.40

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.