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Finding the Fourth Proportional to 3,868.77, 5,794.13 and 2,826.20

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Solution

The fourth proportional to 3,868.77, 5,794.13 and 2,826.20 is: 4,232.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.77 : 5,794.13 = 2,826.20 : x
  2. Step 2: Convert to fraction form
    3,868.77/5,794.13 = 2,826.20/x
  3. Step 3: Cross multiply
    3,868.77x = 5,794.13 × 2,826.20
  4. Step 4: Simplify right side
    3,868.77x = 16,375,327.10
  5. Step 5: Solve for x
    x = 16,375,327.10/3,868.77
  6. Step 6: Final answer
    x = 4,232.70

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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.