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Finding the Fourth Proportional to 3,289.50, 4,928.04 and 2,550.38

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Solution

The fourth proportional to 3,289.50, 4,928.04 and 2,550.38 is: 3,820.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.50 : 4,928.04 = 2,550.38 : x
  2. Step 2: Convert to fraction form
    3,289.50/4,928.04 = 2,550.38/x
  3. Step 3: Cross multiply
    3,289.50x = 4,928.04 × 2,550.38
  4. Step 4: Simplify right side
    3,289.50x = 12,568,350.02
  5. Step 5: Solve for x
    x = 12,568,350.02/3,289.50
  6. Step 6: Final answer
    x = 3,820.75

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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.