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Finding the Fourth Proportional to 3,871.68, 5,343 and 2,380.44

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Solution

The fourth proportional to 3,871.68, 5,343 and 2,380.44 is: 3,285.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.68 : 5,343 = 2,380.44 : x
  2. Step 2: Convert to fraction form
    3,871.68/5,343 = 2,380.44/x
  3. Step 3: Cross multiply
    3,871.68x = 5,343 × 2,380.44
  4. Step 4: Simplify right side
    3,871.68x = 12,718,690.92
  5. Step 5: Solve for x
    x = 12,718,690.92/3,871.68
  6. Step 6: Final answer
    x = 3,285.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.