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Finding the Fourth Proportional to 4,997.28, 6,894.06 and 3,006.71

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Solution

The fourth proportional to 4,997.28, 6,894.06 and 3,006.71 is: 4,147.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997.28 : 6,894.06 = 3,006.71 : x
  2. Step 2: Convert to fraction form
    4,997.28/6,894.06 = 3,006.71/x
  3. Step 3: Cross multiply
    4,997.28x = 6,894.06 × 3,006.71
  4. Step 4: Simplify right side
    4,997.28x = 20,728,404.67
  5. Step 5: Solve for x
    x = 20,728,404.67/4,997.28
  6. Step 6: Final answer
    x = 4,147.94

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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.