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Finding the Fourth Proportional to 6,814.40, 10,229.70 and 3,855.20

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Solution

The fourth proportional to 6,814.40, 10,229.70 and 3,855.20 is: 5,787.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.40 : 10,229.70 = 3,855.20 : x
  2. Step 2: Convert to fraction form
    6,814.40/10,229.70 = 3,855.20/x
  3. Step 3: Cross multiply
    6,814.40x = 10,229.70 × 3,855.20
  4. Step 4: Simplify right side
    6,814.40x = 39,437,539.44
  5. Step 5: Solve for x
    x = 39,437,539.44/6,814.40
  6. Step 6: Final answer
    x = 5,787.38

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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.