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Finding the Fourth Proportional to 5,757.09, 8,628.80 and 3,293.61

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Solution

The fourth proportional to 5,757.09, 8,628.80 and 3,293.61 is: 4,936.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.09 : 8,628.80 = 3,293.61 : x
  2. Step 2: Convert to fraction form
    5,757.09/8,628.80 = 3,293.61/x
  3. Step 3: Cross multiply
    5,757.09x = 8,628.80 × 3,293.61
  4. Step 4: Simplify right side
    5,757.09x = 28,419,885.50
  5. Step 5: Solve for x
    x = 28,419,885.50/5,757.09
  6. Step 6: Final answer
    x = 4,936.50

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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.