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Finding the Fourth Proportional to 3,431.53, 5,146.83 and 966.56

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Solution

The fourth proportional to 3,431.53, 5,146.83 and 966.56 is: 1,449.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.53 : 5,146.83 = 966.56 : x
  2. Step 2: Convert to fraction form
    3,431.53/5,146.83 = 966.56/x
  3. Step 3: Cross multiply
    3,431.53x = 5,146.83 × 966.56
  4. Step 4: Simplify right side
    3,431.53x = 4,974,694.27
  5. Step 5: Solve for x
    x = 4,974,694.27/3,431.53
  6. Step 6: Final answer
    x = 1,449.70

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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.