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Finding the Fourth Proportional to 3,792.66, 5,234.85 and 2,469.66

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Solution

The fourth proportional to 3,792.66, 5,234.85 and 2,469.66 is: 3,408.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.66 : 5,234.85 = 2,469.66 : x
  2. Step 2: Convert to fraction form
    3,792.66/5,234.85 = 2,469.66/x
  3. Step 3: Cross multiply
    3,792.66x = 5,234.85 × 2,469.66
  4. Step 4: Simplify right side
    3,792.66x = 12,928,299.65
  5. Step 5: Solve for x
    x = 12,928,299.65/3,792.66
  6. Step 6: Final answer
    x = 3,408.77

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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.