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Finding the Fourth Proportional to 3,956.94, 5,939.99 and 2,314.66

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Solution

The fourth proportional to 3,956.94, 5,939.99 and 2,314.66 is: 3,474.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.94 : 5,939.99 = 2,314.66 : x
  2. Step 2: Convert to fraction form
    3,956.94/5,939.99 = 2,314.66/x
  3. Step 3: Cross multiply
    3,956.94x = 5,939.99 × 2,314.66
  4. Step 4: Simplify right side
    3,956.94x = 13,749,057.25
  5. Step 5: Solve for x
    x = 13,749,057.25/3,956.94
  6. Step 6: Final answer
    x = 3,474.67

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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.