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Finding the Fourth Proportional to 5,387.35, 8,089.53 and 3,205.82

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Solution

The fourth proportional to 5,387.35, 8,089.53 and 3,205.82 is: 4,813.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,387.35 : 8,089.53 = 3,205.82 : x
  2. Step 2: Convert to fraction form
    5,387.35/8,089.53 = 3,205.82/x
  3. Step 3: Cross multiply
    5,387.35x = 8,089.53 × 3,205.82
  4. Step 4: Simplify right side
    5,387.35x = 25,933,524.60
  5. Step 5: Solve for x
    x = 25,933,524.60/5,387.35
  6. Step 6: Final answer
    x = 4,813.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.