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Finding the Fourth Proportional to 5,240.22, 7,231.22 and 2,881.90

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Solution

The fourth proportional to 5,240.22, 7,231.22 and 2,881.90 is: 3,976.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,240.22 : 7,231.22 = 2,881.90 : x
  2. Step 2: Convert to fraction form
    5,240.22/7,231.22 = 2,881.90/x
  3. Step 3: Cross multiply
    5,240.22x = 7,231.22 × 2,881.90
  4. Step 4: Simplify right side
    5,240.22x = 20,839,652.92
  5. Step 5: Solve for x
    x = 20,839,652.92/5,240.22
  6. Step 6: Final answer
    x = 3,976.87

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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.