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Finding the Fourth Proportional to 5,633.22, 7,773.68 and 3,115.43

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Solution

The fourth proportional to 5,633.22, 7,773.68 and 3,115.43 is: 4,299.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.22 : 7,773.68 = 3,115.43 : x
  2. Step 2: Convert to fraction form
    5,633.22/7,773.68 = 3,115.43/x
  3. Step 3: Cross multiply
    5,633.22x = 7,773.68 × 3,115.43
  4. Step 4: Simplify right side
    5,633.22x = 24,218,355.88
  5. Step 5: Solve for x
    x = 24,218,355.88/5,633.22
  6. Step 6: Final answer
    x = 4,299.20

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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.