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Finding the Fourth Proportional to 3,898.68, 5,845.02 and 2,022.54

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Solution

The fourth proportional to 3,898.68, 5,845.02 and 2,022.54 is: 3,032.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.68 : 5,845.02 = 2,022.54 : x
  2. Step 2: Convert to fraction form
    3,898.68/5,845.02 = 2,022.54/x
  3. Step 3: Cross multiply
    3,898.68x = 5,845.02 × 2,022.54
  4. Step 4: Simplify right side
    3,898.68x = 11,821,786.75
  5. Step 5: Solve for x
    x = 11,821,786.75/3,898.68
  6. Step 6: Final answer
    x = 3,032.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.