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Finding the Fourth Proportional to 4,180.56, 5,769.56 and 2,608.80

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Solution

The fourth proportional to 4,180.56, 5,769.56 and 2,608.80 is: 3,600.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,180.56 : 5,769.56 = 2,608.80 : x
  2. Step 2: Convert to fraction form
    4,180.56/5,769.56 = 2,608.80/x
  3. Step 3: Cross multiply
    4,180.56x = 5,769.56 × 2,608.80
  4. Step 4: Simplify right side
    4,180.56x = 15,051,628.13
  5. Step 5: Solve for x
    x = 15,051,628.13/4,180.56
  6. Step 6: Final answer
    x = 3,600.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.