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Finding the Fourth Proportional to 3,828.05, 5,734.22 and 3,696.02

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Solution

The fourth proportional to 3,828.05, 5,734.22 and 3,696.02 is: 5,536.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.05 : 5,734.22 = 3,696.02 : x
  2. Step 2: Convert to fraction form
    3,828.05/5,734.22 = 3,696.02/x
  3. Step 3: Cross multiply
    3,828.05x = 5,734.22 × 3,696.02
  4. Step 4: Simplify right side
    3,828.05x = 21,193,744.65
  5. Step 5: Solve for x
    x = 21,193,744.65/3,828.05
  6. Step 6: Final answer
    x = 5,536.44

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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.