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Finding the Fourth Proportional to 5,188.82, 7,160.63 and 2,831

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Solution

The fourth proportional to 5,188.82, 7,160.63 and 2,831 is: 3,906.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.82 : 7,160.63 = 2,831 : x
  2. Step 2: Convert to fraction form
    5,188.82/7,160.63 = 2,831/x
  3. Step 3: Cross multiply
    5,188.82x = 7,160.63 × 2,831
  4. Step 4: Simplify right side
    5,188.82x = 20,271,743.53
  5. Step 5: Solve for x
    x = 20,271,743.53/5,188.82
  6. Step 6: Final answer
    x = 3,906.81

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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.