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Finding the Fourth Proportional to 3,746.22, 5,169.74 and 2,067.63

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Solution

The fourth proportional to 3,746.22, 5,169.74 and 2,067.63 is: 2,853.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.22 : 5,169.74 = 2,067.63 : x
  2. Step 2: Convert to fraction form
    3,746.22/5,169.74 = 2,067.63/x
  3. Step 3: Cross multiply
    3,746.22x = 5,169.74 × 2,067.63
  4. Step 4: Simplify right side
    3,746.22x = 10,689,099.18
  5. Step 5: Solve for x
    x = 10,689,099.18/3,746.22
  6. Step 6: Final answer
    x = 2,853.30

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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.