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Finding the Fourth Proportional to 3,286.69, 4,530.27 and 2,290.24

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Solution

The fourth proportional to 3,286.69, 4,530.27 and 2,290.24 is: 3,156.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.69 : 4,530.27 = 2,290.24 : x
  2. Step 2: Convert to fraction form
    3,286.69/4,530.27 = 2,290.24/x
  3. Step 3: Cross multiply
    3,286.69x = 4,530.27 × 2,290.24
  4. Step 4: Simplify right side
    3,286.69x = 10,375,405.56
  5. Step 5: Solve for x
    x = 10,375,405.56/3,286.69
  6. Step 6: Final answer
    x = 3,156.79

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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.