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Finding the Fourth Proportional to 3,843.04, 5,766.95 and 3,473.29

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Solution

The fourth proportional to 3,843.04, 5,766.95 and 3,473.29 is: 5,212.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.04 : 5,766.95 = 3,473.29 : x
  2. Step 2: Convert to fraction form
    3,843.04/5,766.95 = 3,473.29/x
  3. Step 3: Cross multiply
    3,843.04x = 5,766.95 × 3,473.29
  4. Step 4: Simplify right side
    3,843.04x = 20,030,257.98
  5. Step 5: Solve for x
    x = 20,030,257.98/3,843.04
  6. Step 6: Final answer
    x = 5,212.09

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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.