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Finding the Fourth Proportional to 3,813.92, 5,263.92 and 2,243.12

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Solution

The fourth proportional to 3,813.92, 5,263.92 and 2,243.12 is: 3,095.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.92 : 5,263.92 = 2,243.12 : x
  2. Step 2: Convert to fraction form
    3,813.92/5,263.92 = 2,243.12/x
  3. Step 3: Cross multiply
    3,813.92x = 5,263.92 × 2,243.12
  4. Step 4: Simplify right side
    3,813.92x = 11,807,604.23
  5. Step 5: Solve for x
    x = 11,807,604.23/3,813.92
  6. Step 6: Final answer
    x = 3,095.92

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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.