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Finding the Fourth Proportional to 3,836.69, 5,751.15 and 1,495.23

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Solution

The fourth proportional to 3,836.69, 5,751.15 and 1,495.23 is: 2,241.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.69 : 5,751.15 = 1,495.23 : x
  2. Step 2: Convert to fraction form
    3,836.69/5,751.15 = 1,495.23/x
  3. Step 3: Cross multiply
    3,836.69x = 5,751.15 × 1,495.23
  4. Step 4: Simplify right side
    3,836.69x = 8,599,292.01
  5. Step 5: Solve for x
    x = 8,599,292.01/3,836.69
  6. Step 6: Final answer
    x = 2,241.33

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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.