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Finding the Fourth Proportional to 3,843.29, 5,767.07 and 3,564.45

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Solution

The fourth proportional to 3,843.29, 5,767.07 and 3,564.45 is: 5,348.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.29 : 5,767.07 = 3,564.45 : x
  2. Step 2: Convert to fraction form
    3,843.29/5,767.07 = 3,564.45/x
  3. Step 3: Cross multiply
    3,843.29x = 5,767.07 × 3,564.45
  4. Step 4: Simplify right side
    3,843.29x = 20,556,414.84
  5. Step 5: Solve for x
    x = 20,556,414.84/3,843.29
  6. Step 6: Final answer
    x = 5,348.65

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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.