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Finding the Fourth Proportional to 4,162.71, 5,744.54 and 2,274.31

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Solution

The fourth proportional to 4,162.71, 5,744.54 and 2,274.31 is: 3,138.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.71 : 5,744.54 = 2,274.31 : x
  2. Step 2: Convert to fraction form
    4,162.71/5,744.54 = 2,274.31/x
  3. Step 3: Cross multiply
    4,162.71x = 5,744.54 × 2,274.31
  4. Step 4: Simplify right side
    4,162.71x = 13,064,824.67
  5. Step 5: Solve for x
    x = 13,064,824.67/4,162.71
  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.