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Finding the Fourth Proportional to 5,491.46, 8,237.20 and 1,331.46

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Solution

The fourth proportional to 5,491.46, 8,237.20 and 1,331.46 is: 1,997.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491.46 : 8,237.20 = 1,331.46 : x
  2. Step 2: Convert to fraction form
    5,491.46/8,237.20 = 1,331.46/x
  3. Step 3: Cross multiply
    5,491.46x = 8,237.20 × 1,331.46
  4. Step 4: Simplify right side
    5,491.46x = 10,967,540.72
  5. Step 5: Solve for x
    x = 10,967,540.72/5,491.46
  6. Step 6: Final answer
    x = 1,997.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.