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Finding the Fourth Proportional to 5,984, 8,257.92 and 3,500

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Solution

The fourth proportional to 5,984, 8,257.92 and 3,500 is: 4,830

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984 : 8,257.92 = 3,500 : x
  2. Step 2: Convert to fraction form
    5,984/8,257.92 = 3,500/x
  3. Step 3: Cross multiply
    5,984x = 8,257.92 × 3,500
  4. Step 4: Simplify right side
    5,984x = 28,902,720
  5. Step 5: Solve for x
    x = 28,902,720/5,984
  6. Step 6: Final answer
    x = 4,830

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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.