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Finding the Fourth Proportional to 3,833.19, 5,749.77 and 1,059.86

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Solution

The fourth proportional to 3,833.19, 5,749.77 and 1,059.86 is: 1,589.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.19 : 5,749.77 = 1,059.86 : x
  2. Step 2: Convert to fraction form
    3,833.19/5,749.77 = 1,059.86/x
  3. Step 3: Cross multiply
    3,833.19x = 5,749.77 × 1,059.86
  4. Step 4: Simplify right side
    3,833.19x = 6,093,951.23
  5. Step 5: Solve for x
    x = 6,093,951.23/3,833.19
  6. Step 6: Final answer
    x = 1,589.79

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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.