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Finding the Fourth Proportional to 5,544.92, 8,319 and 2,082.44

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Solution

The fourth proportional to 5,544.92, 8,319 and 2,082.44 is: 3,124.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,544.92 : 8,319 = 2,082.44 : x
  2. Step 2: Convert to fraction form
    5,544.92/8,319 = 2,082.44/x
  3. Step 3: Cross multiply
    5,544.92x = 8,319 × 2,082.44
  4. Step 4: Simplify right side
    5,544.92x = 17,323,797.56
  5. Step 5: Solve for x
    x = 17,323,797.56/5,544.92
  6. Step 6: Final answer
    x = 3,124.27

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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.