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Finding the Fourth Proportional to 3,863.55, 5,794.89 and 1,523.21

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Solution

The fourth proportional to 3,863.55, 5,794.89 and 1,523.21 is: 2,284.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.55 : 5,794.89 = 1,523.21 : x
  2. Step 2: Convert to fraction form
    3,863.55/5,794.89 = 1,523.21/x
  3. Step 3: Cross multiply
    3,863.55x = 5,794.89 × 1,523.21
  4. Step 4: Simplify right side
    3,863.55x = 8,826,808.28
  5. Step 5: Solve for x
    x = 8,826,808.28/3,863.55
  6. Step 6: Final answer
    x = 2,284.64

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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.