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Finding the Fourth Proportional to 3,183.57, 4,772.88 and 1,516.84

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Solution

The fourth proportional to 3,183.57, 4,772.88 and 1,516.84 is: 2,274.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.57 : 4,772.88 = 1,516.84 : x
  2. Step 2: Convert to fraction form
    3,183.57/4,772.88 = 1,516.84/x
  3. Step 3: Cross multiply
    3,183.57x = 4,772.88 × 1,516.84
  4. Step 4: Simplify right side
    3,183.57x = 7,239,695.30
  5. Step 5: Solve for x
    x = 7,239,695.30/3,183.57
  6. Step 6: Final answer
    x = 2,274.08

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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.