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Finding the Fourth Proportional to 3,993.70, 5,511.30 and 2,315.44

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Solution

The fourth proportional to 3,993.70, 5,511.30 and 2,315.44 is: 3,195.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.70 : 5,511.30 = 2,315.44 : x
  2. Step 2: Convert to fraction form
    3,993.70/5,511.30 = 2,315.44/x
  3. Step 3: Cross multiply
    3,993.70x = 5,511.30 × 2,315.44
  4. Step 4: Simplify right side
    3,993.70x = 12,761,084.47
  5. Step 5: Solve for x
    x = 12,761,084.47/3,993.70
  6. Step 6: Final answer
    x = 3,195.30

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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.