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Finding the Fourth Proportional to 4,162.35, 5,770.35 and 3,940.41

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Solution

The fourth proportional to 4,162.35, 5,770.35 and 3,940.41 is: 5,462.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.35 : 5,770.35 = 3,940.41 : x
  2. Step 2: Convert to fraction form
    4,162.35/5,770.35 = 3,940.41/x
  3. Step 3: Cross multiply
    4,162.35x = 5,770.35 × 3,940.41
  4. Step 4: Simplify right side
    4,162.35x = 22,737,544.84
  5. Step 5: Solve for x
    x = 22,737,544.84/4,162.35
  6. Step 6: Final answer
    x = 5,462.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.