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Finding the Fourth Proportional to 4,626.68, 6,939.30 and 1,704.34

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Solution

The fourth proportional to 4,626.68, 6,939.30 and 1,704.34 is: 2,556.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626.68 : 6,939.30 = 1,704.34 : x
  2. Step 2: Convert to fraction form
    4,626.68/6,939.30 = 1,704.34/x
  3. Step 3: Cross multiply
    4,626.68x = 6,939.30 × 1,704.34
  4. Step 4: Simplify right side
    4,626.68x = 11,826,926.56
  5. Step 5: Solve for x
    x = 11,826,926.56/4,626.68
  6. Step 6: Final answer
    x = 2,556.24

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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.