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Finding the Fourth Proportional to 3,846.73, 5,770.14 and 1,383.31

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Solution

The fourth proportional to 3,846.73, 5,770.14 and 1,383.31 is: 2,074.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.73 : 5,770.14 = 1,383.31 : x
  2. Step 2: Convert to fraction form
    3,846.73/5,770.14 = 1,383.31/x
  3. Step 3: Cross multiply
    3,846.73x = 5,770.14 × 1,383.31
  4. Step 4: Simplify right side
    3,846.73x = 7,981,892.36
  5. Step 5: Solve for x
    x = 7,981,892.36/3,846.73
  6. Step 6: Final answer
    x = 2,074.98

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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.