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Finding the Fourth Proportional to 6,521.31, 8,997.89 and 4,164.21

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Solution

The fourth proportional to 6,521.31, 8,997.89 and 4,164.21 is: 5,745.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521.31 : 8,997.89 = 4,164.21 : x
  2. Step 2: Convert to fraction form
    6,521.31/8,997.89 = 4,164.21/x
  3. Step 3: Cross multiply
    6,521.31x = 8,997.89 × 4,164.21
  4. Step 4: Simplify right side
    6,521.31x = 37,469,082.70
  5. Step 5: Solve for x
    x = 37,469,082.70/6,521.31
  6. Step 6: Final answer
    x = 5,745.64

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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.