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Finding the Fourth Proportional to 3,863.84, 5,796.23 and 1,230.42

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Solution

The fourth proportional to 3,863.84, 5,796.23 and 1,230.42 is: 1,845.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.84 : 5,796.23 = 1,230.42 : x
  2. Step 2: Convert to fraction form
    3,863.84/5,796.23 = 1,230.42/x
  3. Step 3: Cross multiply
    3,863.84x = 5,796.23 × 1,230.42
  4. Step 4: Simplify right side
    3,863.84x = 7,131,812.90
  5. Step 5: Solve for x
    x = 7,131,812.90/3,863.84
  6. Step 6: Final answer
    x = 1,845.78

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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.