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Finding the Fourth Proportional to 3,974.74, 5,961.42 and 1,053.34

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Solution

The fourth proportional to 3,974.74, 5,961.42 and 1,053.34 is: 1,579.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.74 : 5,961.42 = 1,053.34 : x
  2. Step 2: Convert to fraction form
    3,974.74/5,961.42 = 1,053.34/x
  3. Step 3: Cross multiply
    3,974.74x = 5,961.42 × 1,053.34
  4. Step 4: Simplify right side
    3,974.74x = 6,279,402.14
  5. Step 5: Solve for x
    x = 6,279,402.14/3,974.74
  6. Step 6: Final answer
    x = 1,579.83

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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.