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Finding the Fourth Proportional to 6,059, 8,361.34 and 3,370.20

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Solution

The fourth proportional to 6,059, 8,361.34 and 3,370.20 is: 4,650.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,059 : 8,361.34 = 3,370.20 : x
  2. Step 2: Convert to fraction form
    6,059/8,361.34 = 3,370.20/x
  3. Step 3: Cross multiply
    6,059x = 8,361.34 × 3,370.20
  4. Step 4: Simplify right side
    6,059x = 28,179,388.07
  5. Step 5: Solve for x
    x = 28,179,388.07/6,059
  6. Step 6: Final answer
    x = 4,650.83

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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.