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Finding the Fourth Proportional to 3,456.87, 4,770.48 and 1,884.97

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Solution

The fourth proportional to 3,456.87, 4,770.48 and 1,884.97 is: 2,601.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.87 : 4,770.48 = 1,884.97 : x
  2. Step 2: Convert to fraction form
    3,456.87/4,770.48 = 1,884.97/x
  3. Step 3: Cross multiply
    3,456.87x = 4,770.48 × 1,884.97
  4. Step 4: Simplify right side
    3,456.87x = 8,992,211.69
  5. Step 5: Solve for x
    x = 8,992,211.69/3,456.87
  6. Step 6: Final answer
    x = 2,601.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.