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Finding the Fourth Proportional to 3,782.19, 5,218.17 and 2,289.54

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Solution

The fourth proportional to 3,782.19, 5,218.17 and 2,289.54 is: 3,158.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.19 : 5,218.17 = 2,289.54 : x
  2. Step 2: Convert to fraction form
    3,782.19/5,218.17 = 2,289.54/x
  3. Step 3: Cross multiply
    3,782.19x = 5,218.17 × 2,289.54
  4. Step 4: Simplify right side
    3,782.19x = 11,947,208.94
  5. Step 5: Solve for x
    x = 11,947,208.94/3,782.19
  6. Step 6: Final answer
    x = 3,158.81

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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.