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Finding the Fourth Proportional to 5,781.44, 7,975.77 and 3,684.26

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Solution

The fourth proportional to 5,781.44, 7,975.77 and 3,684.26 is: 5,082.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.44 : 7,975.77 = 3,684.26 : x
  2. Step 2: Convert to fraction form
    5,781.44/7,975.77 = 3,684.26/x
  3. Step 3: Cross multiply
    5,781.44x = 7,975.77 × 3,684.26
  4. Step 4: Simplify right side
    5,781.44x = 29,384,810.38
  5. Step 5: Solve for x
    x = 29,384,810.38/5,781.44
  6. Step 6: Final answer
    x = 5,082.61

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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.