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Finding the Fourth Proportional to 5,491.16, 8,234.70 and 3,408.08

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Solution

The fourth proportional to 5,491.16, 8,234.70 and 3,408.08 is: 5,110.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491.16 : 8,234.70 = 3,408.08 : x
  2. Step 2: Convert to fraction form
    5,491.16/8,234.70 = 3,408.08/x
  3. Step 3: Cross multiply
    5,491.16x = 8,234.70 × 3,408.08
  4. Step 4: Simplify right side
    5,491.16x = 28,064,516.38
  5. Step 5: Solve for x
    x = 28,064,516.38/5,491.16
  6. Step 6: Final answer
    x = 5,110.85

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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.