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Finding the Fourth Proportional to 3,782.87, 5,218.73 and 2,166.92

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Solution

The fourth proportional to 3,782.87, 5,218.73 and 2,166.92 is: 2,989.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.87 : 5,218.73 = 2,166.92 : x
  2. Step 2: Convert to fraction form
    3,782.87/5,218.73 = 2,166.92/x
  3. Step 3: Cross multiply
    3,782.87x = 5,218.73 × 2,166.92
  4. Step 4: Simplify right side
    3,782.87x = 11,308,570.41
  5. Step 5: Solve for x
    x = 11,308,570.41/3,782.87
  6. Step 6: Final answer
    x = 2,989.42

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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.