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Finding the Fourth Proportional to 5,516.82, 7,614.41 and 3,394.17

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Solution

The fourth proportional to 5,516.82, 7,614.41 and 3,394.17 is: 4,684.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,516.82 : 7,614.41 = 3,394.17 : x
  2. Step 2: Convert to fraction form
    5,516.82/7,614.41 = 3,394.17/x
  3. Step 3: Cross multiply
    5,516.82x = 7,614.41 × 3,394.17
  4. Step 4: Simplify right side
    5,516.82x = 25,844,601.99
  5. Step 5: Solve for x
    x = 25,844,601.99/5,516.82
  6. Step 6: Final answer
    x = 4,684.69

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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.