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Finding the Fourth Proportional to 5,971.75, 8,960.91 and 2,893.75

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Solution

The fourth proportional to 5,971.75, 8,960.91 and 2,893.75 is: 4,342.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.75 : 8,960.91 = 2,893.75 : x
  2. Step 2: Convert to fraction form
    5,971.75/8,960.91 = 2,893.75/x
  3. Step 3: Cross multiply
    5,971.75x = 8,960.91 × 2,893.75
  4. Step 4: Simplify right side
    5,971.75x = 25,930,633.31
  5. Step 5: Solve for x
    x = 25,930,633.31/5,971.75
  6. Step 6: Final answer
    x = 4,342.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.