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Finding the Fourth Proportional to 3,843.96, 5,769.58 and 1,996.40

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Solution

The fourth proportional to 3,843.96, 5,769.58 and 1,996.40 is: 2,996.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.96 : 5,769.58 = 1,996.40 : x
  2. Step 2: Convert to fraction form
    3,843.96/5,769.58 = 1,996.40/x
  3. Step 3: Cross multiply
    3,843.96x = 5,769.58 × 1,996.40
  4. Step 4: Simplify right side
    3,843.96x = 11,518,370.23
  5. Step 5: Solve for x
    x = 11,518,370.23/3,843.96
  6. Step 6: Final answer
    x = 2,996.49

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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.