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Finding the Fourth Proportional to 5,843.42, 8,063.80 and 3,190.84

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Solution

The fourth proportional to 5,843.42, 8,063.80 and 3,190.84 is: 4,403.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.42 : 8,063.80 = 3,190.84 : x
  2. Step 2: Convert to fraction form
    5,843.42/8,063.80 = 3,190.84/x
  3. Step 3: Cross multiply
    5,843.42x = 8,063.80 × 3,190.84
  4. Step 4: Simplify right side
    5,843.42x = 25,730,295.59
  5. Step 5: Solve for x
    x = 25,730,295.59/5,843.42
  6. Step 6: Final answer
    x = 4,403.29

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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.