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Finding the Fourth Proportional to 5,971.77, 8,241.32 and 3,319.22

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Solution

The fourth proportional to 5,971.77, 8,241.32 and 3,319.22 is: 4,580.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.77 : 8,241.32 = 3,319.22 : x
  2. Step 2: Convert to fraction form
    5,971.77/8,241.32 = 3,319.22/x
  3. Step 3: Cross multiply
    5,971.77x = 8,241.32 × 3,319.22
  4. Step 4: Simplify right side
    5,971.77x = 27,354,733.50
  5. Step 5: Solve for x
    x = 27,354,733.50/5,971.77
  6. Step 6: Final answer
    x = 4,580.68

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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.