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Finding the Fourth Proportional to 3,965.73, 5,954.87 and 3,824.26

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Solution

The fourth proportional to 3,965.73, 5,954.87 and 3,824.26 is: 5,742.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.73 : 5,954.87 = 3,824.26 : x
  2. Step 2: Convert to fraction form
    3,965.73/5,954.87 = 3,824.26/x
  3. Step 3: Cross multiply
    3,965.73x = 5,954.87 × 3,824.26
  4. Step 4: Simplify right side
    3,965.73x = 22,772,971.15
  5. Step 5: Solve for x
    x = 22,772,971.15/3,965.73
  6. Step 6: Final answer
    x = 5,742.44

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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.