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Finding the Fourth Proportional to 5,631.24, 7,771.69 and 3,241.30

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Solution

The fourth proportional to 5,631.24, 7,771.69 and 3,241.30 is: 4,473.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,631.24 : 7,771.69 = 3,241.30 : x
  2. Step 2: Convert to fraction form
    5,631.24/7,771.69 = 3,241.30/x
  3. Step 3: Cross multiply
    5,631.24x = 7,771.69 × 3,241.30
  4. Step 4: Simplify right side
    5,631.24x = 25,190,392.56
  5. Step 5: Solve for x
    x = 25,190,392.56/5,631.24
  6. Step 6: Final answer
    x = 4,473.33

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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.