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Finding the Fourth Proportional to 4,982.82, 6,874.74 and 2,993.82

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Solution

The fourth proportional to 4,982.82, 6,874.74 and 2,993.82 is: 4,130.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,982.82 : 6,874.74 = 2,993.82 : x
  2. Step 2: Convert to fraction form
    4,982.82/6,874.74 = 2,993.82/x
  3. Step 3: Cross multiply
    4,982.82x = 6,874.74 × 2,993.82
  4. Step 4: Simplify right side
    4,982.82x = 20,581,734.11
  5. Step 5: Solve for x
    x = 20,581,734.11/4,982.82
  6. Step 6: Final answer
    x = 4,130.54

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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.