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Finding the Fourth Proportional to 5,722.52, 8,578.31 and 1,824.26

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Solution

The fourth proportional to 5,722.52, 8,578.31 and 1,824.26 is: 2,734.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,722.52 : 8,578.31 = 1,824.26 : x
  2. Step 2: Convert to fraction form
    5,722.52/8,578.31 = 1,824.26/x
  3. Step 3: Cross multiply
    5,722.52x = 8,578.31 × 1,824.26
  4. Step 4: Simplify right side
    5,722.52x = 15,649,015.79
  5. Step 5: Solve for x
    x = 15,649,015.79/5,722.52
  6. Step 6: Final answer
    x = 2,734.64

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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.