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Finding the Fourth Proportional to 3,944.52, 5,914.74 and 1,311.06

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Solution

The fourth proportional to 3,944.52, 5,914.74 and 1,311.06 is: 1,965.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,944.52 : 5,914.74 = 1,311.06 : x
  2. Step 2: Convert to fraction form
    3,944.52/5,914.74 = 1,311.06/x
  3. Step 3: Cross multiply
    3,944.52x = 5,914.74 × 1,311.06
  4. Step 4: Simplify right side
    3,944.52x = 7,754,579.02
  5. Step 5: Solve for x
    x = 7,754,579.02/3,944.52
  6. Step 6: Final answer
    x = 1,965.91

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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.