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Finding the Fourth Proportional to 3,286.59, 4,536.51 and 2,239.26

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Solution

The fourth proportional to 3,286.59, 4,536.51 and 2,239.26 is: 3,090.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.59 : 4,536.51 = 2,239.26 : x
  2. Step 2: Convert to fraction form
    3,286.59/4,536.51 = 2,239.26/x
  3. Step 3: Cross multiply
    3,286.59x = 4,536.51 × 2,239.26
  4. Step 4: Simplify right side
    3,286.59x = 10,158,425.38
  5. Step 5: Solve for x
    x = 10,158,425.38/3,286.59
  6. Step 6: Final answer
    x = 3,090.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.