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Finding the Fourth Proportional to 5,232.35, 7,222.05 and 3,241.82

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Solution

The fourth proportional to 5,232.35, 7,222.05 and 3,241.82 is: 4,474.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.35 : 7,222.05 = 3,241.82 : x
  2. Step 2: Convert to fraction form
    5,232.35/7,222.05 = 3,241.82/x
  3. Step 3: Cross multiply
    5,232.35x = 7,222.05 × 3,241.82
  4. Step 4: Simplify right side
    5,232.35x = 23,412,604.19
  5. Step 5: Solve for x
    x = 23,412,604.19/5,232.35
  6. Step 6: Final answer
    x = 4,474.58

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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.