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Finding the Fourth Proportional to 3,833.70, 5,751.79 and 1,884.54

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Solution

The fourth proportional to 3,833.70, 5,751.79 and 1,884.54 is: 2,827.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.70 : 5,751.79 = 1,884.54 : x
  2. Step 2: Convert to fraction form
    3,833.70/5,751.79 = 1,884.54/x
  3. Step 3: Cross multiply
    3,833.70x = 5,751.79 × 1,884.54
  4. Step 4: Simplify right side
    3,833.70x = 10,839,478.33
  5. Step 5: Solve for x
    x = 10,839,478.33/3,833.70
  6. Step 6: Final answer
    x = 2,827.42

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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.