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Finding the Fourth Proportional to 4,225.37, 5,836.20 and 3,167.86

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Solution

The fourth proportional to 4,225.37, 5,836.20 and 3,167.86 is: 4,375.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,225.37 : 5,836.20 = 3,167.86 : x
  2. Step 2: Convert to fraction form
    4,225.37/5,836.20 = 3,167.86/x
  3. Step 3: Cross multiply
    4,225.37x = 5,836.20 × 3,167.86
  4. Step 4: Simplify right side
    4,225.37x = 18,488,266.82
  5. Step 5: Solve for x
    x = 18,488,266.82/4,225.37
  6. Step 6: Final answer
    x = 4,375.54

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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.