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Finding the Fourth Proportional to 6,336.44, 8,742.79 and 3,682.34

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Solution

The fourth proportional to 6,336.44, 8,742.79 and 3,682.34 is: 5,080.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.44 : 8,742.79 = 3,682.34 : x
  2. Step 2: Convert to fraction form
    6,336.44/8,742.79 = 3,682.34/x
  3. Step 3: Cross multiply
    6,336.44x = 8,742.79 × 3,682.34
  4. Step 4: Simplify right side
    6,336.44x = 32,193,925.33
  5. Step 5: Solve for x
    x = 32,193,925.33/6,336.44
  6. Step 6: Final answer
    x = 5,080.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.