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Finding the Fourth Proportional to 3,745.35, 5,619.24 and 3,194.22

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Solution

The fourth proportional to 3,745.35, 5,619.24 and 3,194.22 is: 4,792.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.35 : 5,619.24 = 3,194.22 : x
  2. Step 2: Convert to fraction form
    3,745.35/5,619.24 = 3,194.22/x
  3. Step 3: Cross multiply
    3,745.35x = 5,619.24 × 3,194.22
  4. Step 4: Simplify right side
    3,745.35x = 17,949,088.79
  5. Step 5: Solve for x
    x = 17,949,088.79/3,745.35
  6. Step 6: Final answer
    x = 4,792.37

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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.