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Finding the Fourth Proportional to 3,745.67, 5,169.02 and 2,067.08

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Solution

The fourth proportional to 3,745.67, 5,169.02 and 2,067.08 is: 2,852.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.67 : 5,169.02 = 2,067.08 : x
  2. Step 2: Convert to fraction form
    3,745.67/5,169.02 = 2,067.08/x
  3. Step 3: Cross multiply
    3,745.67x = 5,169.02 × 2,067.08
  4. Step 4: Simplify right side
    3,745.67x = 10,684,752.02
  5. Step 5: Solve for x
    x = 10,684,752.02/3,745.67
  6. Step 6: Final answer
    x = 2,852.56

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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.