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Finding the Fourth Proportional to 3,745.69, 5,169.14 and 2,067.11

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Solution

The fourth proportional to 3,745.69, 5,169.14 and 2,067.11 is: 2,852.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.69 : 5,169.14 = 2,067.11 : x
  2. Step 2: Convert to fraction form
    3,745.69/5,169.14 = 2,067.11/x
  3. Step 3: Cross multiply
    3,745.69x = 5,169.14 × 2,067.11
  4. Step 4: Simplify right side
    3,745.69x = 10,685,199.08
  5. Step 5: Solve for x
    x = 10,685,199.08/3,745.69
  6. Step 6: Final answer
    x = 2,852.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.