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Finding the Fourth Proportional to 5,959.74, 8,224.42 and 3,271

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Solution

The fourth proportional to 5,959.74, 8,224.42 and 3,271 is: 4,513.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,959.74 : 8,224.42 = 3,271 : x
  2. Step 2: Convert to fraction form
    5,959.74/8,224.42 = 3,271/x
  3. Step 3: Cross multiply
    5,959.74x = 8,224.42 × 3,271
  4. Step 4: Simplify right side
    5,959.74x = 26,902,061.47
  5. Step 5: Solve for x
    x = 26,902,061.47/5,959.74
  6. Step 6: Final answer
    x = 4,513.97

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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.