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Finding the Fourth Proportional to 4,768.42, 6,576.12 and 3,974.38

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Solution

The fourth proportional to 4,768.42, 6,576.12 and 3,974.38 is: 5,481.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.42 : 6,576.12 = 3,974.38 : x
  2. Step 2: Convert to fraction form
    4,768.42/6,576.12 = 3,974.38/x
  3. Step 3: Cross multiply
    4,768.42x = 6,576.12 × 3,974.38
  4. Step 4: Simplify right side
    4,768.42x = 26,135,999.81
  5. Step 5: Solve for x
    x = 26,135,999.81/4,768.42
  6. Step 6: Final answer
    x = 5,481.06

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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.