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Finding the Fourth Proportional to 4,791.72, 6,610.84 and 2,802

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Solution

The fourth proportional to 4,791.72, 6,610.84 and 2,802 is: 3,865.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,791.72 : 6,610.84 = 2,802 : x
  2. Step 2: Convert to fraction form
    4,791.72/6,610.84 = 2,802/x
  3. Step 3: Cross multiply
    4,791.72x = 6,610.84 × 2,802
  4. Step 4: Simplify right side
    4,791.72x = 18,523,573.68
  5. Step 5: Solve for x
    x = 18,523,573.68/4,791.72
  6. Step 6: Final answer
    x = 3,865.75

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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.