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Finding the Fourth Proportional to 3,956.44, 5,939.24 and 2,314.16

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Solution

The fourth proportional to 3,956.44, 5,939.24 and 2,314.16 is: 3,473.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.44 : 5,939.24 = 2,314.16 : x
  2. Step 2: Convert to fraction form
    3,956.44/5,939.24 = 2,314.16/x
  3. Step 3: Cross multiply
    3,956.44x = 5,939.24 × 2,314.16
  4. Step 4: Simplify right side
    3,956.44x = 13,744,340.07
  5. Step 5: Solve for x
    x = 13,744,340.07/3,956.44
  6. Step 6: Final answer
    x = 3,473.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.