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Finding the Fourth Proportional to 4,162.75, 5,744.54 and 2,274.32

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Solution

The fourth proportional to 4,162.75, 5,744.54 and 2,274.32 is: 3,138.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.75 : 5,744.54 = 2,274.32 : x
  2. Step 2: Convert to fraction form
    4,162.75/5,744.54 = 2,274.32/x
  3. Step 3: Cross multiply
    4,162.75x = 5,744.54 × 2,274.32
  4. Step 4: Simplify right side
    4,162.75x = 13,064,942.26
  5. Step 5: Solve for x
    x = 13,064,942.26/4,162.75
  6. Step 6: Final answer
    x = 3,138.54

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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.