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Finding the Fourth Proportional to 3,838.22, 5,755.25 and 1,371.68

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Solution

The fourth proportional to 3,838.22, 5,755.25 and 1,371.68 is: 2,056.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.22 : 5,755.25 = 1,371.68 : x
  2. Step 2: Convert to fraction form
    3,838.22/5,755.25 = 1,371.68/x
  3. Step 3: Cross multiply
    3,838.22x = 5,755.25 × 1,371.68
  4. Step 4: Simplify right side
    3,838.22x = 7,894,335.97
  5. Step 5: Solve for x
    x = 7,894,335.97/3,838.22
  6. Step 6: Final answer
    x = 2,056.77

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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.