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Finding the Fourth Proportional to 5,324.45, 7,983.74 and 2,471.82

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Solution

The fourth proportional to 5,324.45, 7,983.74 and 2,471.82 is: 3,706.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324.45 : 7,983.74 = 2,471.82 : x
  2. Step 2: Convert to fraction form
    5,324.45/7,983.74 = 2,471.82/x
  3. Step 3: Cross multiply
    5,324.45x = 7,983.74 × 2,471.82
  4. Step 4: Simplify right side
    5,324.45x = 19,734,355.85
  5. Step 5: Solve for x
    x = 19,734,355.85/5,324.45
  6. Step 6: Final answer
    x = 3,706.37

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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.