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Finding the Fourth Proportional to 3,858.87, 5,324.94 and 2,180.43

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Solution

The fourth proportional to 3,858.87, 5,324.94 and 2,180.43 is: 3,008.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.87 : 5,324.94 = 2,180.43 : x
  2. Step 2: Convert to fraction form
    3,858.87/5,324.94 = 2,180.43/x
  3. Step 3: Cross multiply
    3,858.87x = 5,324.94 × 2,180.43
  4. Step 4: Simplify right side
    3,858.87x = 11,610,658.92
  5. Step 5: Solve for x
    x = 11,610,658.92/3,858.87
  6. Step 6: Final answer
    x = 3,008.82

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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.