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Finding the Fourth Proportional to 3,761.43, 5,615.22 and 3,269.49

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Solution

The fourth proportional to 3,761.43, 5,615.22 and 3,269.49 is: 4,880.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.43 : 5,615.22 = 3,269.49 : x
  2. Step 2: Convert to fraction form
    3,761.43/5,615.22 = 3,269.49/x
  3. Step 3: Cross multiply
    3,761.43x = 5,615.22 × 3,269.49
  4. Step 4: Simplify right side
    3,761.43x = 18,358,905.64
  5. Step 5: Solve for x
    x = 18,358,905.64/3,761.43
  6. Step 6: Final answer
    x = 4,880.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.