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Finding the Fourth Proportional to 3,974.52, 5,961.82 and 1,053.12

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Solution

The fourth proportional to 3,974.52, 5,961.82 and 1,053.12 is: 1,579.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.52 : 5,961.82 = 1,053.12 : x
  2. Step 2: Convert to fraction form
    3,974.52/5,961.82 = 1,053.12/x
  3. Step 3: Cross multiply
    3,974.52x = 5,961.82 × 1,053.12
  4. Step 4: Simplify right side
    3,974.52x = 6,278,511.88
  5. Step 5: Solve for x
    x = 6,278,511.88/3,974.52
  6. Step 6: Final answer
    x = 1,579.69

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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.