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Finding the Fourth Proportional to 8,138.40, 12,208.26 and 3,459.48

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Solution

The fourth proportional to 8,138.40, 12,208.26 and 3,459.48 is: 5,189.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.40 : 12,208.26 = 3,459.48 : x
  2. Step 2: Convert to fraction form
    8,138.40/12,208.26 = 3,459.48/x
  3. Step 3: Cross multiply
    8,138.40x = 12,208.26 × 3,459.48
  4. Step 4: Simplify right side
    8,138.40x = 42,234,231.30
  5. Step 5: Solve for x
    x = 42,234,231.30/8,138.40
  6. Step 6: Final answer
    x = 5,189.50

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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.