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Finding the Fourth Proportional to 5,739.16, 7,919.94 and 3,221.28

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Solution

The fourth proportional to 5,739.16, 7,919.94 and 3,221.28 is: 4,445.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.16 : 7,919.94 = 3,221.28 : x
  2. Step 2: Convert to fraction form
    5,739.16/7,919.94 = 3,221.28/x
  3. Step 3: Cross multiply
    5,739.16x = 7,919.94 × 3,221.28
  4. Step 4: Simplify right side
    5,739.16x = 25,512,344.32
  5. Step 5: Solve for x
    x = 25,512,344.32/5,739.16
  6. Step 6: Final answer
    x = 4,445.31

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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.