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Finding the Fourth Proportional to 3,865.87, 5,795.83 and 1,916.56

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Solution

The fourth proportional to 3,865.87, 5,795.83 and 1,916.56 is: 2,873.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.87 : 5,795.83 = 1,916.56 : x
  2. Step 2: Convert to fraction form
    3,865.87/5,795.83 = 1,916.56/x
  3. Step 3: Cross multiply
    3,865.87x = 5,795.83 × 1,916.56
  4. Step 4: Simplify right side
    3,865.87x = 11,108,055.94
  5. Step 5: Solve for x
    x = 11,108,055.94/3,865.87
  6. Step 6: Final answer
    x = 2,873.37

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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.