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Finding the Fourth Proportional to 4,195.96, 6,289.06 and 3,709.96

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Solution

The fourth proportional to 4,195.96, 6,289.06 and 3,709.96 is: 5,560.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195.96 : 6,289.06 = 3,709.96 : x
  2. Step 2: Convert to fraction form
    4,195.96/6,289.06 = 3,709.96/x
  3. Step 3: Cross multiply
    4,195.96x = 6,289.06 × 3,709.96
  4. Step 4: Simplify right side
    4,195.96x = 23,332,161.04
  5. Step 5: Solve for x
    x = 23,332,161.04/4,195.96
  6. Step 6: Final answer
    x = 5,560.63

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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.