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Finding the Fourth Proportional to 3,976.92, 5,965.53 and 1,511.99

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Solution

The fourth proportional to 3,976.92, 5,965.53 and 1,511.99 is: 2,268.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.92 : 5,965.53 = 1,511.99 : x
  2. Step 2: Convert to fraction form
    3,976.92/5,965.53 = 1,511.99/x
  3. Step 3: Cross multiply
    3,976.92x = 5,965.53 × 1,511.99
  4. Step 4: Simplify right side
    3,976.92x = 9,019,821.70
  5. Step 5: Solve for x
    x = 9,019,821.70/3,976.92
  6. Step 6: Final answer
    x = 2,268.04

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Why These Related Problems?

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