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Finding the Fourth Proportional to 7,241.22, 10,844.82 and 3,531.82

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Solution

The fourth proportional to 7,241.22, 10,844.82 and 3,531.82 is: 5,289.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.22 : 10,844.82 = 3,531.82 : x
  2. Step 2: Convert to fraction form
    7,241.22/10,844.82 = 3,531.82/x
  3. Step 3: Cross multiply
    7,241.22x = 10,844.82 × 3,531.82
  4. Step 4: Simplify right side
    7,241.22x = 38,301,952.17
  5. Step 5: Solve for x
    x = 38,301,952.17/7,241.22
  6. Step 6: Final answer
    x = 5,289.43

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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.