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Finding the Fourth Proportional to 3,917.54, 5,406.42 and 2,324.68

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Solution

The fourth proportional to 3,917.54, 5,406.42 and 2,324.68 is: 3,208.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.54 : 5,406.42 = 2,324.68 : x
  2. Step 2: Convert to fraction form
    3,917.54/5,406.42 = 2,324.68/x
  3. Step 3: Cross multiply
    3,917.54x = 5,406.42 × 2,324.68
  4. Step 4: Simplify right side
    3,917.54x = 12,568,196.45
  5. Step 5: Solve for x
    x = 12,568,196.45/3,917.54
  6. Step 6: Final answer
    x = 3,208.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.