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Finding the Fourth Proportional to 4,493.91, 6,733.56 and 3,189

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Solution

The fourth proportional to 4,493.91, 6,733.56 and 3,189 is: 4,778.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.91 : 6,733.56 = 3,189 : x
  2. Step 2: Convert to fraction form
    4,493.91/6,733.56 = 3,189/x
  3. Step 3: Cross multiply
    4,493.91x = 6,733.56 × 3,189
  4. Step 4: Simplify right side
    4,493.91x = 21,473,322.84
  5. Step 5: Solve for x
    x = 21,473,322.84/4,493.91
  6. Step 6: Final answer
    x = 4,778.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.