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Finding the Fourth Proportional to 5,942.84, 8,908.68 and 2,044.52

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Solution

The fourth proportional to 5,942.84, 8,908.68 and 2,044.52 is: 3,064.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.84 : 8,908.68 = 2,044.52 : x
  2. Step 2: Convert to fraction form
    5,942.84/8,908.68 = 2,044.52/x
  3. Step 3: Cross multiply
    5,942.84x = 8,908.68 × 2,044.52
  4. Step 4: Simplify right side
    5,942.84x = 18,213,974.43
  5. Step 5: Solve for x
    x = 18,213,974.43/5,942.84
  6. Step 6: Final answer
    x = 3,064.86

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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.