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Finding the Fourth Proportional to 3,813.89, 5,720.98 and 1,181.16

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Solution

The fourth proportional to 3,813.89, 5,720.98 and 1,181.16 is: 1,771.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.89 : 5,720.98 = 1,181.16 : x
  2. Step 2: Convert to fraction form
    3,813.89/5,720.98 = 1,181.16/x
  3. Step 3: Cross multiply
    3,813.89x = 5,720.98 × 1,181.16
  4. Step 4: Simplify right side
    3,813.89x = 6,757,375.91
  5. Step 5: Solve for x
    x = 6,757,375.91/3,813.89
  6. Step 6: Final answer
    x = 1,771.78

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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.