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Finding the Fourth Proportional to 4,055.67, 6,082.29 and 1,863

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Solution

The fourth proportional to 4,055.67, 6,082.29 and 1,863 is: 2,793.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,055.67 : 6,082.29 = 1,863 : x
  2. Step 2: Convert to fraction form
    4,055.67/6,082.29 = 1,863/x
  3. Step 3: Cross multiply
    4,055.67x = 6,082.29 × 1,863
  4. Step 4: Simplify right side
    4,055.67x = 11,331,306.27
  5. Step 5: Solve for x
    x = 11,331,306.27/4,055.67
  6. Step 6: Final answer
    x = 2,793.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.