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Finding the Fourth Proportional to 8,489.40, 12,738.74 and 3,295.48

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Solution

The fourth proportional to 8,489.40, 12,738.74 and 3,295.48 is: 4,945.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.40 : 12,738.74 = 3,295.48 : x
  2. Step 2: Convert to fraction form
    8,489.40/12,738.74 = 3,295.48/x
  3. Step 3: Cross multiply
    8,489.40x = 12,738.74 × 3,295.48
  4. Step 4: Simplify right side
    8,489.40x = 41,980,262.90
  5. Step 5: Solve for x
    x = 41,980,262.90/8,489.40
  6. Step 6: Final answer
    x = 4,945.02

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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.