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Finding the Fourth Proportional to 3,833.39, 5,744.73 and 2,074.61

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Solution

The fourth proportional to 3,833.39, 5,744.73 and 2,074.61 is: 3,109.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.39 : 5,744.73 = 2,074.61 : x
  2. Step 2: Convert to fraction form
    3,833.39/5,744.73 = 2,074.61/x
  3. Step 3: Cross multiply
    3,833.39x = 5,744.73 × 2,074.61
  4. Step 4: Simplify right side
    3,833.39x = 11,918,074.31
  5. Step 5: Solve for x
    x = 11,918,074.31/3,833.39
  6. Step 6: Final answer
    x = 3,109.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.