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Finding the Fourth Proportional to 5,105.70, 7,043.56 and 3,215.97

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Solution

The fourth proportional to 5,105.70, 7,043.56 and 3,215.97 is: 4,436.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.70 : 7,043.56 = 3,215.97 : x
  2. Step 2: Convert to fraction form
    5,105.70/7,043.56 = 3,215.97/x
  3. Step 3: Cross multiply
    5,105.70x = 7,043.56 × 3,215.97
  4. Step 4: Simplify right side
    5,105.70x = 22,651,869.61
  5. Step 5: Solve for x
    x = 22,651,869.61/5,105.70
  6. Step 6: Final answer
    x = 4,436.58

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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.