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Finding the Fourth Proportional to 5,673.12, 7,832.68 and 4,344.44

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Solution

The fourth proportional to 5,673.12, 7,832.68 and 4,344.44 is: 5,998.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.12 : 7,832.68 = 4,344.44 : x
  2. Step 2: Convert to fraction form
    5,673.12/7,832.68 = 4,344.44/x
  3. Step 3: Cross multiply
    5,673.12x = 7,832.68 × 4,344.44
  4. Step 4: Simplify right side
    5,673.12x = 34,028,608.30
  5. Step 5: Solve for x
    x = 34,028,608.30/5,673.12
  6. Step 6: Final answer
    x = 5,998.22

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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.