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Finding the Fourth Proportional to 5,633.34, 7,766.72 and 3,861.78

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Solution

The fourth proportional to 5,633.34, 7,766.72 and 3,861.78 is: 5,324.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.34 : 7,766.72 = 3,861.78 : x
  2. Step 2: Convert to fraction form
    5,633.34/7,766.72 = 3,861.78/x
  3. Step 3: Cross multiply
    5,633.34x = 7,766.72 × 3,861.78
  4. Step 4: Simplify right side
    5,633.34x = 29,993,363.96
  5. Step 5: Solve for x
    x = 29,993,363.96/5,633.34
  6. Step 6: Final answer
    x = 5,324.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.