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Finding the Fourth Proportional to 3,906.87, 5,858.51 and 1,441.59

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Solution

The fourth proportional to 3,906.87, 5,858.51 and 1,441.59 is: 2,161.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.87 : 5,858.51 = 1,441.59 : x
  2. Step 2: Convert to fraction form
    3,906.87/5,858.51 = 1,441.59/x
  3. Step 3: Cross multiply
    3,906.87x = 5,858.51 × 1,441.59
  4. Step 4: Simplify right side
    3,906.87x = 8,445,562.22
  5. Step 5: Solve for x
    x = 8,445,562.22/3,906.87
  6. Step 6: Final answer
    x = 2,161.72

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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.