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Finding the Fourth Proportional to 3,400.49, 5,077.44 and 3,046.80

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Solution

The fourth proportional to 3,400.49, 5,077.44 and 3,046.80 is: 4,549.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.49 : 5,077.44 = 3,046.80 : x
  2. Step 2: Convert to fraction form
    3,400.49/5,077.44 = 3,046.80/x
  3. Step 3: Cross multiply
    3,400.49x = 5,077.44 × 3,046.80
  4. Step 4: Simplify right side
    3,400.49x = 15,469,944.19
  5. Step 5: Solve for x
    x = 15,469,944.19/3,400.49
  6. Step 6: Final answer
    x = 4,549.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.