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Finding the Fourth Proportional to 4,166.90, 6,219.94 and 3,641.41

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Solution

The fourth proportional to 4,166.90, 6,219.94 and 3,641.41 is: 5,435.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.90 : 6,219.94 = 3,641.41 : x
  2. Step 2: Convert to fraction form
    4,166.90/6,219.94 = 3,641.41/x
  3. Step 3: Cross multiply
    4,166.90x = 6,219.94 × 3,641.41
  4. Step 4: Simplify right side
    4,166.90x = 22,649,351.72
  5. Step 5: Solve for x
    x = 22,649,351.72/4,166.90
  6. Step 6: Final answer
    x = 5,435.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.