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Finding the Fourth Proportional to 5,142.44, 7,695.84 and 3,167.19

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Solution

The fourth proportional to 5,142.44, 7,695.84 and 3,167.19 is: 4,739.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.44 : 7,695.84 = 3,167.19 : x
  2. Step 2: Convert to fraction form
    5,142.44/7,695.84 = 3,167.19/x
  3. Step 3: Cross multiply
    5,142.44x = 7,695.84 × 3,167.19
  4. Step 4: Simplify right side
    5,142.44x = 24,374,187.49
  5. Step 5: Solve for x
    x = 24,374,187.49/5,142.44
  6. Step 6: Final answer
    x = 4,739.81

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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.