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Finding the Fourth Proportional to 4,982.61, 6,872.34 and 4,351.80

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Solution

The fourth proportional to 4,982.61, 6,872.34 and 4,351.80 is: 6,002.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,982.61 : 6,872.34 = 4,351.80 : x
  2. Step 2: Convert to fraction form
    4,982.61/6,872.34 = 4,351.80/x
  3. Step 3: Cross multiply
    4,982.61x = 6,872.34 × 4,351.80
  4. Step 4: Simplify right side
    4,982.61x = 29,907,071.97
  5. Step 5: Solve for x
    x = 29,907,071.97/4,982.61
  6. Step 6: Final answer
    x = 6,002.29

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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.