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Finding the Fourth Proportional to 3,608.06, 5,412.03 and 1,415.22

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Solution

The fourth proportional to 3,608.06, 5,412.03 and 1,415.22 is: 2,122.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.06 : 5,412.03 = 1,415.22 : x
  2. Step 2: Convert to fraction form
    3,608.06/5,412.03 = 1,415.22/x
  3. Step 3: Cross multiply
    3,608.06x = 5,412.03 × 1,415.22
  4. Step 4: Simplify right side
    3,608.06x = 7,659,213.10
  5. Step 5: Solve for x
    x = 7,659,213.10/3,608.06
  6. Step 6: Final answer
    x = 2,122.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.