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Finding the Fourth Proportional to 3,511, 5,264.96 and 1,318.19

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Solution

The fourth proportional to 3,511, 5,264.96 and 1,318.19 is: 1,976.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511 : 5,264.96 = 1,318.19 : x
  2. Step 2: Convert to fraction form
    3,511/5,264.96 = 1,318.19/x
  3. Step 3: Cross multiply
    3,511x = 5,264.96 × 1,318.19
  4. Step 4: Simplify right side
    3,511x = 6,940,217.62
  5. Step 5: Solve for x
    x = 6,940,217.62/3,511
  6. Step 6: Final answer
    x = 1,976.71

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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.