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Finding the Fourth Proportional to 4,227.72, 6,311.91 and 3,813

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Solution

The fourth proportional to 4,227.72, 6,311.91 and 3,813 is: 5,692.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227.72 : 6,311.91 = 3,813 : x
  2. Step 2: Convert to fraction form
    4,227.72/6,311.91 = 3,813/x
  3. Step 3: Cross multiply
    4,227.72x = 6,311.91 × 3,813
  4. Step 4: Simplify right side
    4,227.72x = 24,067,312.83
  5. Step 5: Solve for x
    x = 24,067,312.83/4,227.72
  6. Step 6: Final answer
    x = 5,692.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.