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Finding the Fourth Proportional to 3,792.96, 5,234.76 and 2,550.96

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Solution

The fourth proportional to 3,792.96, 5,234.76 and 2,550.96 is: 3,520.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.96 : 5,234.76 = 2,550.96 : x
  2. Step 2: Convert to fraction form
    3,792.96/5,234.76 = 2,550.96/x
  3. Step 3: Cross multiply
    3,792.96x = 5,234.76 × 2,550.96
  4. Step 4: Simplify right side
    3,792.96x = 13,353,663.37
  5. Step 5: Solve for x
    x = 13,353,663.37/3,792.96
  6. Step 6: Final answer
    x = 3,520.64

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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.