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Finding the Fourth Proportional to 5,676.32, 7,826.86 and 3,997.20

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Solution

The fourth proportional to 5,676.32, 7,826.86 and 3,997.20 is: 5,511.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.32 : 7,826.86 = 3,997.20 : x
  2. Step 2: Convert to fraction form
    5,676.32/7,826.86 = 3,997.20/x
  3. Step 3: Cross multiply
    5,676.32x = 7,826.86 × 3,997.20
  4. Step 4: Simplify right side
    5,676.32x = 31,285,524.79
  5. Step 5: Solve for x
    x = 31,285,524.79/5,676.32
  6. Step 6: Final answer
    x = 5,511.59

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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.