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Finding the Fourth Proportional to 4,238.26, 5,853.71 and 2,819.50

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Solution

The fourth proportional to 4,238.26, 5,853.71 and 2,819.50 is: 3,894.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.26 : 5,853.71 = 2,819.50 : x
  2. Step 2: Convert to fraction form
    4,238.26/5,853.71 = 2,819.50/x
  3. Step 3: Cross multiply
    4,238.26x = 5,853.71 × 2,819.50
  4. Step 4: Simplify right side
    4,238.26x = 16,504,527.76
  5. Step 5: Solve for x
    x = 16,504,527.76/4,238.26
  6. Step 6: Final answer
    x = 3,894.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.