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Finding the Fourth Proportional to 4,427.43, 6,633.44 and 3,696

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Solution

The fourth proportional to 4,427.43, 6,633.44 and 3,696 is: 5,537.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,427.43 : 6,633.44 = 3,696 : x
  2. Step 2: Convert to fraction form
    4,427.43/6,633.44 = 3,696/x
  3. Step 3: Cross multiply
    4,427.43x = 6,633.44 × 3,696
  4. Step 4: Simplify right side
    4,427.43x = 24,517,194.24
  5. Step 5: Solve for x
    x = 24,517,194.24/4,427.43
  6. Step 6: Final answer
    x = 5,537.57

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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.