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Finding the Fourth Proportional to 3,843.09, 5,764.06 and 1,069.47

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Solution

The fourth proportional to 3,843.09, 5,764.06 and 1,069.47 is: 1,604.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.09 : 5,764.06 = 1,069.47 : x
  2. Step 2: Convert to fraction form
    3,843.09/5,764.06 = 1,069.47/x
  3. Step 3: Cross multiply
    3,843.09x = 5,764.06 × 1,069.47
  4. Step 4: Simplify right side
    3,843.09x = 6,164,489.25
  5. Step 5: Solve for x
    x = 6,164,489.25/3,843.09
  6. Step 6: Final answer
    x = 1,604.04

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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.