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Finding the Fourth Proportional to 5,796.26, 7,995.87 and 3,668.19

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Solution

The fourth proportional to 5,796.26, 7,995.87 and 3,668.19 is: 5,060.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.26 : 7,995.87 = 3,668.19 : x
  2. Step 2: Convert to fraction form
    5,796.26/7,995.87 = 3,668.19/x
  3. Step 3: Cross multiply
    5,796.26x = 7,995.87 × 3,668.19
  4. Step 4: Simplify right side
    5,796.26x = 29,330,370.38
  5. Step 5: Solve for x
    x = 29,330,370.38/5,796.26
  6. Step 6: Final answer
    x = 5,060.23

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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.