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Finding the Fourth Proportional to 4,197.81, 5,793.26 and 2,779.05

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Solution

The fourth proportional to 4,197.81, 5,793.26 and 2,779.05 is: 3,835.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.81 : 5,793.26 = 2,779.05 : x
  2. Step 2: Convert to fraction form
    4,197.81/5,793.26 = 2,779.05/x
  3. Step 3: Cross multiply
    4,197.81x = 5,793.26 × 2,779.05
  4. Step 4: Simplify right side
    4,197.81x = 16,099,759.20
  5. Step 5: Solve for x
    x = 16,099,759.20/4,197.81
  6. Step 6: Final answer
    x = 3,835.28

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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.