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Finding the Fourth Proportional to 3,584.33, 5,370.42 and 2,194.76

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Solution

The fourth proportional to 3,584.33, 5,370.42 and 2,194.76 is: 3,288.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.33 : 5,370.42 = 2,194.76 : x
  2. Step 2: Convert to fraction form
    3,584.33/5,370.42 = 2,194.76/x
  3. Step 3: Cross multiply
    3,584.33x = 5,370.42 × 2,194.76
  4. Step 4: Simplify right side
    3,584.33x = 11,786,790.47
  5. Step 5: Solve for x
    x = 11,786,790.47/3,584.33
  6. Step 6: Final answer
    x = 3,288.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.