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Finding the Fourth Proportional to 5,834, 8,050.92 and 3,971

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Solution

The fourth proportional to 5,834, 8,050.92 and 3,971 is: 5,479.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834 : 8,050.92 = 3,971 : x
  2. Step 2: Convert to fraction form
    5,834/8,050.92 = 3,971/x
  3. Step 3: Cross multiply
    5,834x = 8,050.92 × 3,971
  4. Step 4: Simplify right side
    5,834x = 31,970,203.32
  5. Step 5: Solve for x
    x = 31,970,203.32/5,834
  6. Step 6: Final answer
    x = 5,479.98

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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.