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Finding the Fourth Proportional to 3,608.80, 5,412.96 and 1,419.28

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Solution

The fourth proportional to 3,608.80, 5,412.96 and 1,419.28 is: 2,128.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.80 : 5,412.96 = 1,419.28 : x
  2. Step 2: Convert to fraction form
    3,608.80/5,412.96 = 1,419.28/x
  3. Step 3: Cross multiply
    3,608.80x = 5,412.96 × 1,419.28
  4. Step 4: Simplify right side
    3,608.80x = 7,682,505.87
  5. Step 5: Solve for x
    x = 7,682,505.87/3,608.80
  6. Step 6: Final answer
    x = 2,128.83

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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.