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Finding the Fourth Proportional to 5,481.76, 8,224.08 and 2,884

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Solution

The fourth proportional to 5,481.76, 8,224.08 and 2,884 is: 4,326.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,481.76 : 8,224.08 = 2,884 : x
  2. Step 2: Convert to fraction form
    5,481.76/8,224.08 = 2,884/x
  3. Step 3: Cross multiply
    5,481.76x = 8,224.08 × 2,884
  4. Step 4: Simplify right side
    5,481.76x = 23,718,246.72
  5. Step 5: Solve for x
    x = 23,718,246.72/5,481.76
  6. Step 6: Final answer
    x = 4,326.76

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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.