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Finding the Fourth Proportional to 6,872.98, 10,309.48 and 3,949.42

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Solution

The fourth proportional to 6,872.98, 10,309.48 and 3,949.42 is: 5,924.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.98 : 10,309.48 = 3,949.42 : x
  2. Step 2: Convert to fraction form
    6,872.98/10,309.48 = 3,949.42/x
  3. Step 3: Cross multiply
    6,872.98x = 10,309.48 × 3,949.42
  4. Step 4: Simplify right side
    6,872.98x = 40,716,466.50
  5. Step 5: Solve for x
    x = 40,716,466.50/6,872.98
  6. Step 6: Final answer
    x = 5,924.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.