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Finding the Fourth Proportional to 3,842.92, 5,299.68 and 2,850.67

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Solution

The fourth proportional to 3,842.92, 5,299.68 and 2,850.67 is: 3,931.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.92 : 5,299.68 = 2,850.67 : x
  2. Step 2: Convert to fraction form
    3,842.92/5,299.68 = 2,850.67/x
  3. Step 3: Cross multiply
    3,842.92x = 5,299.68 × 2,850.67
  4. Step 4: Simplify right side
    3,842.92x = 15,107,638.79
  5. Step 5: Solve for x
    x = 15,107,638.79/3,842.92
  6. Step 6: Final answer
    x = 3,931.29

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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.