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Finding the Fourth Proportional to 5,791.68, 7,992.50 and 3,274.61

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Solution

The fourth proportional to 5,791.68, 7,992.50 and 3,274.61 is: 4,518.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.68 : 7,992.50 = 3,274.61 : x
  2. Step 2: Convert to fraction form
    5,791.68/7,992.50 = 3,274.61/x
  3. Step 3: Cross multiply
    5,791.68x = 7,992.50 × 3,274.61
  4. Step 4: Simplify right side
    5,791.68x = 26,172,264.09
  5. Step 5: Solve for x
    x = 26,172,264.09/5,791.68
  6. Step 6: Final answer
    x = 4,518.94

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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.