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Finding the Fourth Proportional to 3,836.50, 5,751.31 and 1,370.97

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Solution

The fourth proportional to 3,836.50, 5,751.31 and 1,370.97 is: 2,055.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.50 : 5,751.31 = 1,370.97 : x
  2. Step 2: Convert to fraction form
    3,836.50/5,751.31 = 1,370.97/x
  3. Step 3: Cross multiply
    3,836.50x = 5,751.31 × 1,370.97
  4. Step 4: Simplify right side
    3,836.50x = 7,884,873.47
  5. Step 5: Solve for x
    x = 7,884,873.47/3,836.50
  6. Step 6: Final answer
    x = 2,055.23

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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.