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Finding the Fourth Proportional to 5,796.24, 7,992.92 and 4,959.72

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Solution

The fourth proportional to 5,796.24, 7,992.92 and 4,959.72 is: 6,839.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.24 : 7,992.92 = 4,959.72 : x
  2. Step 2: Convert to fraction form
    5,796.24/7,992.92 = 4,959.72/x
  3. Step 3: Cross multiply
    5,796.24x = 7,992.92 × 4,959.72
  4. Step 4: Simplify right side
    5,796.24x = 39,642,620.38
  5. Step 5: Solve for x
    x = 39,642,620.38/5,796.24
  6. Step 6: Final answer
    x = 6,839.37

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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.