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Finding the Fourth Proportional to 3,863.83, 5,793.69 and 1,782.76

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Solution

The fourth proportional to 3,863.83, 5,793.69 and 1,782.76 is: 2,673.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.83 : 5,793.69 = 1,782.76 : x
  2. Step 2: Convert to fraction form
    3,863.83/5,793.69 = 1,782.76/x
  3. Step 3: Cross multiply
    3,863.83x = 5,793.69 × 1,782.76
  4. Step 4: Simplify right side
    3,863.83x = 10,328,758.78
  5. Step 5: Solve for x
    x = 10,328,758.78/3,863.83
  6. Step 6: Final answer
    x = 2,673.19

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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.