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Finding the Fourth Proportional to 5,974.38, 8,243.73 and 3,456

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Solution

The fourth proportional to 5,974.38, 8,243.73 and 3,456 is: 4,768.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.38 : 8,243.73 = 3,456 : x
  2. Step 2: Convert to fraction form
    5,974.38/8,243.73 = 3,456/x
  3. Step 3: Cross multiply
    5,974.38x = 8,243.73 × 3,456
  4. Step 4: Simplify right side
    5,974.38x = 28,490,330.88
  5. Step 5: Solve for x
    x = 28,490,330.88/5,974.38
  6. Step 6: Final answer
    x = 4,768.75

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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.