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Finding the Fourth Proportional to 3,833.31, 5,744.97 and 2,782.65

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Solution

The fourth proportional to 3,833.31, 5,744.97 and 2,782.65 is: 4,170.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.31 : 5,744.97 = 2,782.65 : x
  2. Step 2: Convert to fraction form
    3,833.31/5,744.97 = 2,782.65/x
  3. Step 3: Cross multiply
    3,833.31x = 5,744.97 × 2,782.65
  4. Step 4: Simplify right side
    3,833.31x = 15,986,240.77
  5. Step 5: Solve for x
    x = 15,986,240.77/3,833.31
  6. Step 6: Final answer
    x = 4,170.35

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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.