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Finding the Fourth Proportional to 3,833.96, 5,751.99 and 1,369.03

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Solution

The fourth proportional to 3,833.96, 5,751.99 and 1,369.03 is: 2,053.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.96 : 5,751.99 = 1,369.03 : x
  2. Step 2: Convert to fraction form
    3,833.96/5,751.99 = 1,369.03/x
  3. Step 3: Cross multiply
    3,833.96x = 5,751.99 × 1,369.03
  4. Step 4: Simplify right side
    3,833.96x = 7,874,640.02
  5. Step 5: Solve for x
    x = 7,874,640.02/3,833.96
  6. Step 6: Final answer
    x = 2,053.92

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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.