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Finding the Fourth Proportional to 3,576.71, 4,936.26 and 2,381.62

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Solution

The fourth proportional to 3,576.71, 4,936.26 and 2,381.62 is: 3,286.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,576.71 : 4,936.26 = 2,381.62 : x
  2. Step 2: Convert to fraction form
    3,576.71/4,936.26 = 2,381.62/x
  3. Step 3: Cross multiply
    3,576.71x = 4,936.26 × 2,381.62
  4. Step 4: Simplify right side
    3,576.71x = 11,756,295.54
  5. Step 5: Solve for x
    x = 11,756,295.54/3,576.71
  6. Step 6: Final answer
    x = 3,286.90

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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.