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Finding the Fourth Proportional to 5,971.69, 8,241.21 and 3,319.06

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Solution

The fourth proportional to 5,971.69, 8,241.21 and 3,319.06 is: 4,580.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.69 : 8,241.21 = 3,319.06 : x
  2. Step 2: Convert to fraction form
    5,971.69/8,241.21 = 3,319.06/x
  3. Step 3: Cross multiply
    5,971.69x = 8,241.21 × 3,319.06
  4. Step 4: Simplify right side
    5,971.69x = 27,353,070.46
  5. Step 5: Solve for x
    x = 27,353,070.46/5,971.69
  6. Step 6: Final answer
    x = 4,580.46

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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.