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Finding the Fourth Proportional to 3,841.70, 5,301.86 and 2,227.17

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Solution

The fourth proportional to 3,841.70, 5,301.86 and 2,227.17 is: 3,073.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.70 : 5,301.86 = 2,227.17 : x
  2. Step 2: Convert to fraction form
    3,841.70/5,301.86 = 2,227.17/x
  3. Step 3: Cross multiply
    3,841.70x = 5,301.86 × 2,227.17
  4. Step 4: Simplify right side
    3,841.70x = 11,808,143.54
  5. Step 5: Solve for x
    x = 11,808,143.54/3,841.70
  6. Step 6: Final answer
    x = 3,073.68

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