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Finding the Fourth Proportional to 5,971.77, 8,241.08 and 3,319.43

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Solution

The fourth proportional to 5,971.77, 8,241.08 and 3,319.43 is: 4,580.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.77 : 8,241.08 = 3,319.43 : x
  2. Step 2: Convert to fraction form
    5,971.77/8,241.08 = 3,319.43/x
  3. Step 3: Cross multiply
    5,971.77x = 8,241.08 × 3,319.43
  4. Step 4: Simplify right side
    5,971.77x = 27,355,630.38
  5. Step 5: Solve for x
    x = 27,355,630.38/5,971.77
  6. Step 6: Final answer
    x = 4,580.82

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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.