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Finding the Fourth Proportional to 3,331, 4,996.91 and 1,382.14

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Solution

The fourth proportional to 3,331, 4,996.91 and 1,382.14 is: 2,073.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,331 : 4,996.91 = 1,382.14 : x
  2. Step 2: Convert to fraction form
    3,331/4,996.91 = 1,382.14/x
  3. Step 3: Cross multiply
    3,331x = 4,996.91 × 1,382.14
  4. Step 4: Simplify right side
    3,331x = 6,906,429.19
  5. Step 5: Solve for x
    x = 6,906,429.19/3,331
  6. Step 6: Final answer
    x = 2,073.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.