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Finding the Fourth Proportional to 6,584.56, 9,092.75 and 4,230.80

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Solution

The fourth proportional to 6,584.56, 9,092.75 and 4,230.80 is: 5,842.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.56 : 9,092.75 = 4,230.80 : x
  2. Step 2: Convert to fraction form
    6,584.56/9,092.75 = 4,230.80/x
  3. Step 3: Cross multiply
    6,584.56x = 9,092.75 × 4,230.80
  4. Step 4: Simplify right side
    6,584.56x = 38,469,583.97
  5. Step 5: Solve for x
    x = 38,469,583.97/6,584.56
  6. Step 6: Final answer
    x = 5,842.40

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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.