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Finding the Fourth Proportional to 5,322.92, 7,984.24 and 2,550.72

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Solution

The fourth proportional to 5,322.92, 7,984.24 and 2,550.72 is: 3,826.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.92 : 7,984.24 = 2,550.72 : x
  2. Step 2: Convert to fraction form
    5,322.92/7,984.24 = 2,550.72/x
  3. Step 3: Cross multiply
    5,322.92x = 7,984.24 × 2,550.72
  4. Step 4: Simplify right side
    5,322.92x = 20,365,560.65
  5. Step 5: Solve for x
    x = 20,365,560.65/5,322.92
  6. Step 6: Final answer
    x = 3,826.01

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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.