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Finding the Fourth Proportional to 3,967.62, 5,949.51 and 1,193.78

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Solution

The fourth proportional to 3,967.62, 5,949.51 and 1,193.78 is: 1,790.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.62 : 5,949.51 = 1,193.78 : x
  2. Step 2: Convert to fraction form
    3,967.62/5,949.51 = 1,193.78/x
  3. Step 3: Cross multiply
    3,967.62x = 5,949.51 × 1,193.78
  4. Step 4: Simplify right side
    3,967.62x = 7,102,370.33
  5. Step 5: Solve for x
    x = 7,102,370.33/3,967.62
  6. Step 6: Final answer
    x = 1,790.08

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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.