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Finding the Fourth Proportional to 5,996.74, 8,275.50 and 3,344

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Solution

The fourth proportional to 5,996.74, 8,275.50 and 3,344 is: 4,614.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996.74 : 8,275.50 = 3,344 : x
  2. Step 2: Convert to fraction form
    5,996.74/8,275.50 = 3,344/x
  3. Step 3: Cross multiply
    5,996.74x = 8,275.50 × 3,344
  4. Step 4: Simplify right side
    5,996.74x = 27,673,272
  5. Step 5: Solve for x
    x = 27,673,272/5,996.74
  6. Step 6: Final answer
    x = 4,614.72

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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.