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Finding the Fourth Proportional to 5,286.69, 7,295.14 and 3,161.78

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Solution

The fourth proportional to 5,286.69, 7,295.14 and 3,161.78 is: 4,362.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.69 : 7,295.14 = 3,161.78 : x
  2. Step 2: Convert to fraction form
    5,286.69/7,295.14 = 3,161.78/x
  3. Step 3: Cross multiply
    5,286.69x = 7,295.14 × 3,161.78
  4. Step 4: Simplify right side
    5,286.69x = 23,065,654.73
  5. Step 5: Solve for x
    x = 23,065,654.73/5,286.69
  6. Step 6: Final answer
    x = 4,362.96

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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.