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Finding the Fourth Proportional to 5,676.05, 7,832.96 and 3,192.05

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Solution

The fourth proportional to 5,676.05, 7,832.96 and 3,192.05 is: 4,405.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.05 : 7,832.96 = 3,192.05 : x
  2. Step 2: Convert to fraction form
    5,676.05/7,832.96 = 3,192.05/x
  3. Step 3: Cross multiply
    5,676.05x = 7,832.96 × 3,192.05
  4. Step 4: Simplify right side
    5,676.05x = 25,003,144.84
  5. Step 5: Solve for x
    x = 25,003,144.84/5,676.05
  6. Step 6: Final answer
    x = 4,405.03

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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.