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Finding the Fourth Proportional to 5,436.50, 8,129.84 and 4,050.80

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Solution

The fourth proportional to 5,436.50, 8,129.84 and 4,050.80 is: 6,057.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,436.50 : 8,129.84 = 4,050.80 : x
  2. Step 2: Convert to fraction form
    5,436.50/8,129.84 = 4,050.80/x
  3. Step 3: Cross multiply
    5,436.50x = 8,129.84 × 4,050.80
  4. Step 4: Simplify right side
    5,436.50x = 32,932,294.97
  5. Step 5: Solve for x
    x = 32,932,294.97/5,436.50
  6. Step 6: Final answer
    x = 6,057.63

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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.