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Finding the Fourth Proportional to 4,102.09, 5,661.81 and 2,608.84

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Solution

The fourth proportional to 4,102.09, 5,661.81 and 2,608.84 is: 3,600.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.09 : 5,661.81 = 2,608.84 : x
  2. Step 2: Convert to fraction form
    4,102.09/5,661.81 = 2,608.84/x
  3. Step 3: Cross multiply
    4,102.09x = 5,661.81 × 2,608.84
  4. Step 4: Simplify right side
    4,102.09x = 14,770,756.40
  5. Step 5: Solve for x
    x = 14,770,756.40/4,102.09
  6. Step 6: Final answer
    x = 3,600.79

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