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Finding the Fourth Proportional to 3,976.69, 5,965.86 and 1,511.05

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Solution

The fourth proportional to 3,976.69, 5,965.86 and 1,511.05 is: 2,266.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.69 : 5,965.86 = 1,511.05 : x
  2. Step 2: Convert to fraction form
    3,976.69/5,965.86 = 1,511.05/x
  3. Step 3: Cross multiply
    3,976.69x = 5,965.86 × 1,511.05
  4. Step 4: Simplify right side
    3,976.69x = 9,014,712.75
  5. Step 5: Solve for x
    x = 9,014,712.75/3,976.69
  6. Step 6: Final answer
    x = 2,266.89

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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.