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Finding the Fourth Proportional to 5,693.85, 8,542.35 and 2,773.80

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Solution

The fourth proportional to 5,693.85, 8,542.35 and 2,773.80 is: 4,161.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.85 : 8,542.35 = 2,773.80 : x
  2. Step 2: Convert to fraction form
    5,693.85/8,542.35 = 2,773.80/x
  3. Step 3: Cross multiply
    5,693.85x = 8,542.35 × 2,773.80
  4. Step 4: Simplify right side
    5,693.85x = 23,694,770.43
  5. Step 5: Solve for x
    x = 23,694,770.43/5,693.85
  6. Step 6: Final answer
    x = 4,161.47

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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.