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Finding the Fourth Proportional to 3,426.50, 5,132.46 and 3,234.80

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Solution

The fourth proportional to 3,426.50, 5,132.46 and 3,234.80 is: 4,845.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.50 : 5,132.46 = 3,234.80 : x
  2. Step 2: Convert to fraction form
    3,426.50/5,132.46 = 3,234.80/x
  3. Step 3: Cross multiply
    3,426.50x = 5,132.46 × 3,234.80
  4. Step 4: Simplify right side
    3,426.50x = 16,602,481.61
  5. Step 5: Solve for x
    x = 16,602,481.61/3,426.50
  6. Step 6: Final answer
    x = 4,845.32

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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.