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Finding the Fourth Proportional to 3,238.50, 4,850.64 and 2,676.85

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Solution

The fourth proportional to 3,238.50, 4,850.64 and 2,676.85 is: 4,009.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.50 : 4,850.64 = 2,676.85 : x
  2. Step 2: Convert to fraction form
    3,238.50/4,850.64 = 2,676.85/x
  3. Step 3: Cross multiply
    3,238.50x = 4,850.64 × 2,676.85
  4. Step 4: Simplify right side
    3,238.50x = 12,984,435.68
  5. Step 5: Solve for x
    x = 12,984,435.68/3,238.50
  6. Step 6: Final answer
    x = 4,009.40

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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.