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Finding the Fourth Proportional to 3,608.24, 5,406.24 and 2,047.28

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Solution

The fourth proportional to 3,608.24, 5,406.24 and 2,047.28 is: 3,067.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.24 : 5,406.24 = 2,047.28 : x
  2. Step 2: Convert to fraction form
    3,608.24/5,406.24 = 2,047.28/x
  3. Step 3: Cross multiply
    3,608.24x = 5,406.24 × 2,047.28
  4. Step 4: Simplify right side
    3,608.24x = 11,068,087.03
  5. Step 5: Solve for x
    x = 11,068,087.03/3,608.24
  6. Step 6: Final answer
    x = 3,067.45

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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.