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Finding the Fourth Proportional to 3,941.82, 5,439.74 and 2,173.48

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Solution

The fourth proportional to 3,941.82, 5,439.74 and 2,173.48 is: 2,999.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,941.82 : 5,439.74 = 2,173.48 : x
  2. Step 2: Convert to fraction form
    3,941.82/5,439.74 = 2,173.48/x
  3. Step 3: Cross multiply
    3,941.82x = 5,439.74 × 2,173.48
  4. Step 4: Simplify right side
    3,941.82x = 11,823,166.10
  5. Step 5: Solve for x
    x = 11,823,166.10/3,941.82
  6. Step 6: Final answer
    x = 2,999.42

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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.