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Finding the Fourth Proportional to 3,833.32, 5,744.64 and 2,168.80

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Solution

The fourth proportional to 3,833.32, 5,744.64 and 2,168.80 is: 3,250.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.32 : 5,744.64 = 2,168.80 : x
  2. Step 2: Convert to fraction form
    3,833.32/5,744.64 = 2,168.80/x
  3. Step 3: Cross multiply
    3,833.32x = 5,744.64 × 2,168.80
  4. Step 4: Simplify right side
    3,833.32x = 12,458,975.23
  5. Step 5: Solve for x
    x = 12,458,975.23/3,833.32
  6. Step 6: Final answer
    x = 3,250.18

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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.