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Finding the Fourth Proportional to 4,196.78, 5,791.84 and 2,778.01

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Solution

The fourth proportional to 4,196.78, 5,791.84 and 2,778.01 is: 3,833.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.78 : 5,791.84 = 2,778.01 : x
  2. Step 2: Convert to fraction form
    4,196.78/5,791.84 = 2,778.01/x
  3. Step 3: Cross multiply
    4,196.78x = 5,791.84 × 2,778.01
  4. Step 4: Simplify right side
    4,196.78x = 16,089,800.59
  5. Step 5: Solve for x
    x = 16,089,800.59/4,196.78
  6. Step 6: Final answer
    x = 3,833.85

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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.