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Finding the Fourth Proportional to 5,805.38, 8,010.42 and 3,446.66

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Solution

The fourth proportional to 5,805.38, 8,010.42 and 3,446.66 is: 4,755.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.38 : 8,010.42 = 3,446.66 : x
  2. Step 2: Convert to fraction form
    5,805.38/8,010.42 = 3,446.66/x
  3. Step 3: Cross multiply
    5,805.38x = 8,010.42 × 3,446.66
  4. Step 4: Simplify right side
    5,805.38x = 27,609,194.20
  5. Step 5: Solve for x
    x = 27,609,194.20/5,805.38
  6. Step 6: Final answer
    x = 4,755.79

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Half scale
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1.5x scale

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.