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Finding the Fourth Proportional to 3,975.22, 5,933.66 and 3,682

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Solution

The fourth proportional to 3,975.22, 5,933.66 and 3,682 is: 5,495.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.22 : 5,933.66 = 3,682 : x
  2. Step 2: Convert to fraction form
    3,975.22/5,933.66 = 3,682/x
  3. Step 3: Cross multiply
    3,975.22x = 5,933.66 × 3,682
  4. Step 4: Simplify right side
    3,975.22x = 21,847,736.12
  5. Step 5: Solve for x
    x = 21,847,736.12/3,975.22
  6. Step 6: Final answer
    x = 5,495.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.