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Finding the Fourth Proportional to 3,883.12, 5,824.74 and 2,162.68

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Solution

The fourth proportional to 3,883.12, 5,824.74 and 2,162.68 is: 3,244.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.12 : 5,824.74 = 2,162.68 : x
  2. Step 2: Convert to fraction form
    3,883.12/5,824.74 = 2,162.68/x
  3. Step 3: Cross multiply
    3,883.12x = 5,824.74 × 2,162.68
  4. Step 4: Simplify right side
    3,883.12x = 12,597,048.70
  5. Step 5: Solve for x
    x = 12,597,048.70/3,883.12
  6. Step 6: Final answer
    x = 3,244.05

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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.