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Finding the Fourth Proportional to 3,829.86, 5,739.39 and 1,744.74

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Solution

The fourth proportional to 3,829.86, 5,739.39 and 1,744.74 is: 2,614.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.86 : 5,739.39 = 1,744.74 : x
  2. Step 2: Convert to fraction form
    3,829.86/5,739.39 = 1,744.74/x
  3. Step 3: Cross multiply
    3,829.86x = 5,739.39 × 1,744.74
  4. Step 4: Simplify right side
    3,829.86x = 10,013,743.31
  5. Step 5: Solve for x
    x = 10,013,743.31/3,829.86
  6. Step 6: Final answer
    x = 2,614.65

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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.