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Finding the Fourth Proportional to 3,473.32, 5,197.56 and 3,241.60

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Solution

The fourth proportional to 3,473.32, 5,197.56 and 3,241.60 is: 4,850.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.32 : 5,197.56 = 3,241.60 : x
  2. Step 2: Convert to fraction form
    3,473.32/5,197.56 = 3,241.60/x
  3. Step 3: Cross multiply
    3,473.32x = 5,197.56 × 3,241.60
  4. Step 4: Simplify right side
    3,473.32x = 16,848,410.50
  5. Step 5: Solve for x
    x = 16,848,410.50/3,473.32
  6. Step 6: Final answer
    x = 4,850.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.