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Finding the Fourth Proportional to 3,824.62, 5,736.81 and 1,088.62

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Solution

The fourth proportional to 3,824.62, 5,736.81 and 1,088.62 is: 1,632.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.62 : 5,736.81 = 1,088.62 : x
  2. Step 2: Convert to fraction form
    3,824.62/5,736.81 = 1,088.62/x
  3. Step 3: Cross multiply
    3,824.62x = 5,736.81 × 1,088.62
  4. Step 4: Simplify right side
    3,824.62x = 6,245,206.10
  5. Step 5: Solve for x
    x = 6,245,206.10/3,824.62
  6. Step 6: Final answer
    x = 1,632.90

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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.