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Finding the Fourth Proportional to 5,889.50, 8,833.34 and 3,824.15

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Solution

The fourth proportional to 5,889.50, 8,833.34 and 3,824.15 is: 5,735.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.50 : 8,833.34 = 3,824.15 : x
  2. Step 2: Convert to fraction form
    5,889.50/8,833.34 = 3,824.15/x
  3. Step 3: Cross multiply
    5,889.50x = 8,833.34 × 3,824.15
  4. Step 4: Simplify right side
    5,889.50x = 33,780,048.80
  5. Step 5: Solve for x
    x = 33,780,048.80/5,889.50
  6. Step 6: Final answer
    x = 5,735.64

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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.