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Finding the Fourth Proportional to 5,971.54, 8,241.23 and 3,319.46

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Solution

The fourth proportional to 5,971.54, 8,241.23 and 3,319.46 is: 4,581.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.54 : 8,241.23 = 3,319.46 : x
  2. Step 2: Convert to fraction form
    5,971.54/8,241.23 = 3,319.46/x
  3. Step 3: Cross multiply
    5,971.54x = 8,241.23 × 3,319.46
  4. Step 4: Simplify right side
    5,971.54x = 27,356,403.49
  5. Step 5: Solve for x
    x = 27,356,403.49/5,971.54
  6. Step 6: Final answer
    x = 4,581.13

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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.