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Finding the Fourth Proportional to 3,971.49, 5,481.36 and 2,292.66

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Solution

The fourth proportional to 3,971.49, 5,481.36 and 2,292.66 is: 3,164.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.49 : 5,481.36 = 2,292.66 : x
  2. Step 2: Convert to fraction form
    3,971.49/5,481.36 = 2,292.66/x
  3. Step 3: Cross multiply
    3,971.49x = 5,481.36 × 2,292.66
  4. Step 4: Simplify right side
    3,971.49x = 12,566,894.82
  5. Step 5: Solve for x
    x = 12,566,894.82/3,971.49
  6. Step 6: Final answer
    x = 3,164.28

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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.