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Finding the Fourth Proportional to 3,486.29, 5,227.94 and 1,293.41

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Solution

The fourth proportional to 3,486.29, 5,227.94 and 1,293.41 is: 1,939.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.29 : 5,227.94 = 1,293.41 : x
  2. Step 2: Convert to fraction form
    3,486.29/5,227.94 = 1,293.41/x
  3. Step 3: Cross multiply
    3,486.29x = 5,227.94 × 1,293.41
  4. Step 4: Simplify right side
    3,486.29x = 6,761,863.41
  5. Step 5: Solve for x
    x = 6,761,863.41/3,486.29
  6. Step 6: Final answer
    x = 1,939.56

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