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Finding the Fourth Proportional to 3,294.72, 4,942.92 and 3,059.46

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Solution

The fourth proportional to 3,294.72, 4,942.92 and 3,059.46 is: 4,589.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.72 : 4,942.92 = 3,059.46 : x
  2. Step 2: Convert to fraction form
    3,294.72/4,942.92 = 3,059.46/x
  3. Step 3: Cross multiply
    3,294.72x = 4,942.92 × 3,059.46
  4. Step 4: Simplify right side
    3,294.72x = 15,122,666.02
  5. Step 5: Solve for x
    x = 15,122,666.02/3,294.72
  6. Step 6: Final answer
    x = 4,589.97

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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.