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Finding the Fourth Proportional to 3,754.16, 5,174.77 and 2,956.22

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Solution

The fourth proportional to 3,754.16, 5,174.77 and 2,956.22 is: 4,074.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.16 : 5,174.77 = 2,956.22 : x
  2. Step 2: Convert to fraction form
    3,754.16/5,174.77 = 2,956.22/x
  3. Step 3: Cross multiply
    3,754.16x = 5,174.77 × 2,956.22
  4. Step 4: Simplify right side
    3,754.16x = 15,297,758.57
  5. Step 5: Solve for x
    x = 15,297,758.57/3,754.16
  6. Step 6: Final answer
    x = 4,074.88

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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.