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Finding the Fourth Proportional to 5,006.24, 6,908.24 and 2,768.14

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Solution

The fourth proportional to 5,006.24, 6,908.24 and 2,768.14 is: 3,819.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.24 : 6,908.24 = 2,768.14 : x
  2. Step 2: Convert to fraction form
    5,006.24/6,908.24 = 2,768.14/x
  3. Step 3: Cross multiply
    5,006.24x = 6,908.24 × 2,768.14
  4. Step 4: Simplify right side
    5,006.24x = 19,122,961.63
  5. Step 5: Solve for x
    x = 19,122,961.63/5,006.24
  6. Step 6: Final answer
    x = 3,819.83

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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.