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Finding the Fourth Proportional to 5,564.73, 7,679.05 and 3,046.80

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Solution

The fourth proportional to 5,564.73, 7,679.05 and 3,046.80 is: 4,204.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.73 : 7,679.05 = 3,046.80 : x
  2. Step 2: Convert to fraction form
    5,564.73/7,679.05 = 3,046.80/x
  3. Step 3: Cross multiply
    5,564.73x = 7,679.05 × 3,046.80
  4. Step 4: Simplify right side
    5,564.73x = 23,396,529.54
  5. Step 5: Solve for x
    x = 23,396,529.54/5,564.73
  6. Step 6: Final answer
    x = 4,204.43

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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.