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Finding the Fourth Proportional to 5,181.69, 7,150.77 and 2,823.78

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Solution

The fourth proportional to 5,181.69, 7,150.77 and 2,823.78 is: 3,896.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,181.69 : 7,150.77 = 2,823.78 : x
  2. Step 2: Convert to fraction form
    5,181.69/7,150.77 = 2,823.78/x
  3. Step 3: Cross multiply
    5,181.69x = 7,150.77 × 2,823.78
  4. Step 4: Simplify right side
    5,181.69x = 20,192,201.31
  5. Step 5: Solve for x
    x = 20,192,201.31/5,181.69
  6. Step 6: Final answer
    x = 3,896.84

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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.