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Finding the Fourth Proportional to 5,294.05, 7,940.11 and 2,006.05

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Solution

The fourth proportional to 5,294.05, 7,940.11 and 2,006.05 is: 3,008.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.05 : 7,940.11 = 2,006.05 : x
  2. Step 2: Convert to fraction form
    5,294.05/7,940.11 = 2,006.05/x
  3. Step 3: Cross multiply
    5,294.05x = 7,940.11 × 2,006.05
  4. Step 4: Simplify right side
    5,294.05x = 15,928,257.67
  5. Step 5: Solve for x
    x = 15,928,257.67/5,294.05
  6. Step 6: Final answer
    x = 3,008.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.