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Finding the Fourth Proportional to 3,467.66, 5,220.24 and 3,166.34

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Solution

The fourth proportional to 3,467.66, 5,220.24 and 3,166.34 is: 4,766.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.66 : 5,220.24 = 3,166.34 : x
  2. Step 2: Convert to fraction form
    3,467.66/5,220.24 = 3,166.34/x
  3. Step 3: Cross multiply
    3,467.66x = 5,220.24 × 3,166.34
  4. Step 4: Simplify right side
    3,467.66x = 16,529,054.72
  5. Step 5: Solve for x
    x = 16,529,054.72/3,467.66
  6. Step 6: Final answer
    x = 4,766.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.