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Finding the Fourth Proportional to 3,871.42, 5,343.24 and 2,192.92

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Solution

The fourth proportional to 3,871.42, 5,343.24 and 2,192.92 is: 3,026.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.42 : 5,343.24 = 2,192.92 : x
  2. Step 2: Convert to fraction form
    3,871.42/5,343.24 = 2,192.92/x
  3. Step 3: Cross multiply
    3,871.42x = 5,343.24 × 2,192.92
  4. Step 4: Simplify right side
    3,871.42x = 11,717,297.86
  5. Step 5: Solve for x
    x = 11,717,297.86/3,871.42
  6. Step 6: Final answer
    x = 3,026.62

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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.