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Finding the Fourth Proportional to 4,467.92, 6,161.34 and 4,114.76

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Solution

The fourth proportional to 4,467.92, 6,161.34 and 4,114.76 is: 5,674.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,467.92 : 6,161.34 = 4,114.76 : x
  2. Step 2: Convert to fraction form
    4,467.92/6,161.34 = 4,114.76/x
  3. Step 3: Cross multiply
    4,467.92x = 6,161.34 × 4,114.76
  4. Step 4: Simplify right side
    4,467.92x = 25,352,435.38
  5. Step 5: Solve for x
    x = 25,352,435.38/4,467.92
  6. Step 6: Final answer
    x = 5,674.33

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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.