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Finding the Fourth Proportional to 5,021.69, 6,930.18 and 2,896.43

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Solution

The fourth proportional to 5,021.69, 6,930.18 and 2,896.43 is: 3,997.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,021.69 : 6,930.18 = 2,896.43 : x
  2. Step 2: Convert to fraction form
    5,021.69/6,930.18 = 2,896.43/x
  3. Step 3: Cross multiply
    5,021.69x = 6,930.18 × 2,896.43
  4. Step 4: Simplify right side
    5,021.69x = 20,072,746.61
  5. Step 5: Solve for x
    x = 20,072,746.61/5,021.69
  6. Step 6: Final answer
    x = 3,997.21

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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.