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Finding the Fourth Proportional to 3,868.68, 5,797.77 and 2,823.78

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Solution

The fourth proportional to 3,868.68, 5,797.77 and 2,823.78 is: 4,231.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.68 : 5,797.77 = 2,823.78 : x
  2. Step 2: Convert to fraction form
    3,868.68/5,797.77 = 2,823.78/x
  3. Step 3: Cross multiply
    3,868.68x = 5,797.77 × 2,823.78
  4. Step 4: Simplify right side
    3,868.68x = 16,371,626.97
  5. Step 5: Solve for x
    x = 16,371,626.97/3,868.68
  6. Step 6: Final answer
    x = 4,231.84

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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.