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Finding the Fourth Proportional to 4,704.92, 7,057.42 and 3,826.40

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Solution

The fourth proportional to 4,704.92, 7,057.42 and 3,826.40 is: 5,739.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.92 : 7,057.42 = 3,826.40 : x
  2. Step 2: Convert to fraction form
    4,704.92/7,057.42 = 3,826.40/x
  3. Step 3: Cross multiply
    4,704.92x = 7,057.42 × 3,826.40
  4. Step 4: Simplify right side
    4,704.92x = 27,004,511.89
  5. Step 5: Solve for x
    x = 27,004,511.89/4,704.92
  6. Step 6: Final answer
    x = 5,739.63

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1.5x scale

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.