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Finding the Fourth Proportional to 6,194.66, 8,548.44 and 3,361.90

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Solution

The fourth proportional to 6,194.66, 8,548.44 and 3,361.90 is: 4,639.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.66 : 8,548.44 = 3,361.90 : x
  2. Step 2: Convert to fraction form
    6,194.66/8,548.44 = 3,361.90/x
  3. Step 3: Cross multiply
    6,194.66x = 8,548.44 × 3,361.90
  4. Step 4: Simplify right side
    6,194.66x = 28,739,000.44
  5. Step 5: Solve for x
    x = 28,739,000.44/6,194.66
  6. Step 6: Final answer
    x = 4,639.32

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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.