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Finding the Fourth Proportional to 4,747.73, 7,114.04 and 3,181.97

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Solution

The fourth proportional to 4,747.73, 7,114.04 and 3,181.97 is: 4,767.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747.73 : 7,114.04 = 3,181.97 : x
  2. Step 2: Convert to fraction form
    4,747.73/7,114.04 = 3,181.97/x
  3. Step 3: Cross multiply
    4,747.73x = 7,114.04 × 3,181.97
  4. Step 4: Simplify right side
    4,747.73x = 22,636,653.55
  5. Step 5: Solve for x
    x = 22,636,653.55/4,747.73
  6. Step 6: Final answer
    x = 4,767.89

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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.