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Finding the Fourth Proportional to 5,971.50, 8,241.03 and 3,318.96

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Solution

The fourth proportional to 5,971.50, 8,241.03 and 3,318.96 is: 4,580.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.50 : 8,241.03 = 3,318.96 : x
  2. Step 2: Convert to fraction form
    5,971.50/8,241.03 = 3,318.96/x
  3. Step 3: Cross multiply
    5,971.50x = 8,241.03 × 3,318.96
  4. Step 4: Simplify right side
    5,971.50x = 27,351,648.93
  5. Step 5: Solve for x
    x = 27,351,648.93/5,971.50
  6. Step 6: Final answer
    x = 4,580.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.