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Finding the Fourth Proportional to 3,792.72, 5,234.10 and 3,162.19

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Solution

The fourth proportional to 3,792.72, 5,234.10 and 3,162.19 is: 4,363.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.72 : 5,234.10 = 3,162.19 : x
  2. Step 2: Convert to fraction form
    3,792.72/5,234.10 = 3,162.19/x
  3. Step 3: Cross multiply
    3,792.72x = 5,234.10 × 3,162.19
  4. Step 4: Simplify right side
    3,792.72x = 16,551,192.51
  5. Step 5: Solve for x
    x = 16,551,192.51/3,792.72
  6. Step 6: Final answer
    x = 4,363.94

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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.