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Finding the Fourth Proportional to 5,978.97, 8,251.97 and 4,982.67

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Solution

The fourth proportional to 5,978.97, 8,251.97 and 4,982.67 is: 6,876.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.97 : 8,251.97 = 4,982.67 : x
  2. Step 2: Convert to fraction form
    5,978.97/8,251.97 = 4,982.67/x
  3. Step 3: Cross multiply
    5,978.97x = 8,251.97 × 4,982.67
  4. Step 4: Simplify right side
    5,978.97x = 41,116,818.45
  5. Step 5: Solve for x
    x = 41,116,818.45/5,978.97
  6. Step 6: Final answer
    x = 6,876.91

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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.