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Finding the Fourth Proportional to 4,162.53, 5,744.16 and 2,274.06

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Solution

The fourth proportional to 4,162.53, 5,744.16 and 2,274.06 is: 3,138.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.53 : 5,744.16 = 2,274.06 : x
  2. Step 2: Convert to fraction form
    4,162.53/5,744.16 = 2,274.06/x
  3. Step 3: Cross multiply
    4,162.53x = 5,744.16 × 2,274.06
  4. Step 4: Simplify right side
    4,162.53x = 13,062,564.49
  5. Step 5: Solve for x
    x = 13,062,564.49/4,162.53
  6. Step 6: Final answer
    x = 3,138.13

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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.