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Finding the Fourth Proportional to 3,909.44, 5,407.08 and 3,843.80

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Solution

The fourth proportional to 3,909.44, 5,407.08 and 3,843.80 is: 5,316.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.44 : 5,407.08 = 3,843.80 : x
  2. Step 2: Convert to fraction form
    3,909.44/5,407.08 = 3,843.80/x
  3. Step 3: Cross multiply
    3,909.44x = 5,407.08 × 3,843.80
  4. Step 4: Simplify right side
    3,909.44x = 20,783,734.10
  5. Step 5: Solve for x
    x = 20,783,734.10/3,909.44
  6. Step 6: Final answer
    x = 5,316.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.