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Finding the Fourth Proportional to 2,835.72, 3,910.95 and 2,768.09

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Solution

The fourth proportional to 2,835.72, 3,910.95 and 2,768.09 is: 3,817.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.72 : 3,910.95 = 2,768.09 : x
  2. Step 2: Convert to fraction form
    2,835.72/3,910.95 = 2,768.09/x
  3. Step 3: Cross multiply
    2,835.72x = 3,910.95 × 2,768.09
  4. Step 4: Simplify right side
    2,835.72x = 10,825,842.03
  5. Step 5: Solve for x
    x = 10,825,842.03/2,835.72
  6. Step 6: Final answer
    x = 3,817.67

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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.