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Finding the Fourth Proportional to 5,971.67, 8,241.19 and 3,319.13

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Solution

The fourth proportional to 5,971.67, 8,241.19 and 3,319.13 is: 4,580.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.67 : 8,241.19 = 3,319.13 : x
  2. Step 2: Convert to fraction form
    5,971.67/8,241.19 = 3,319.13/x
  3. Step 3: Cross multiply
    5,971.67x = 8,241.19 × 3,319.13
  4. Step 4: Simplify right side
    5,971.67x = 27,353,531.46
  5. Step 5: Solve for x
    x = 27,353,531.46/5,971.67
  6. Step 6: Final answer
    x = 4,580.55

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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.