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Finding the Fourth Proportional to 5,743.22, 7,924.29 and 3,259.22

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Solution

The fourth proportional to 5,743.22, 7,924.29 and 3,259.22 is: 4,496.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.22 : 7,924.29 = 3,259.22 : x
  2. Step 2: Convert to fraction form
    5,743.22/7,924.29 = 3,259.22/x
  3. Step 3: Cross multiply
    5,743.22x = 7,924.29 × 3,259.22
  4. Step 4: Simplify right side
    5,743.22x = 25,827,004.45
  5. Step 5: Solve for x
    x = 25,827,004.45/5,743.22
  6. Step 6: Final answer
    x = 4,496.96

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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.