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Finding the Fourth Proportional to 3,855.05, 5,782.46 and 1,081.67

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Solution

The fourth proportional to 3,855.05, 5,782.46 and 1,081.67 is: 1,622.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.05 : 5,782.46 = 1,081.67 : x
  2. Step 2: Convert to fraction form
    3,855.05/5,782.46 = 1,081.67/x
  3. Step 3: Cross multiply
    3,855.05x = 5,782.46 × 1,081.67
  4. Step 4: Simplify right side
    3,855.05x = 6,254,696.35
  5. Step 5: Solve for x
    x = 6,254,696.35/3,855.05
  6. Step 6: Final answer
    x = 1,622.47

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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.