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Finding the Fourth Proportional to 4,121.82, 6,183.99 and 1,310.49

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Solution

The fourth proportional to 4,121.82, 6,183.99 and 1,310.49 is: 1,966.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,121.82 : 6,183.99 = 1,310.49 : x
  2. Step 2: Convert to fraction form
    4,121.82/6,183.99 = 1,310.49/x
  3. Step 3: Cross multiply
    4,121.82x = 6,183.99 × 1,310.49
  4. Step 4: Simplify right side
    4,121.82x = 8,104,057.06
  5. Step 5: Solve for x
    x = 8,104,057.06/4,121.82
  6. Step 6: Final answer
    x = 1,966.14

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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.