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Finding the Fourth Proportional to 4,162.94, 5,744.76 and 2,274.47

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Solution

The fourth proportional to 4,162.94, 5,744.76 and 2,274.47 is: 3,138.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.94 : 5,744.76 = 2,274.47 : x
  2. Step 2: Convert to fraction form
    4,162.94/5,744.76 = 2,274.47/x
  3. Step 3: Cross multiply
    4,162.94x = 5,744.76 × 2,274.47
  4. Step 4: Simplify right side
    4,162.94x = 13,066,255.55
  5. Step 5: Solve for x
    x = 13,066,255.55/4,162.94
  6. Step 6: Final answer
    x = 3,138.71

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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.