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Finding the Fourth Proportional to 3,940.32, 5,906.16 and 1,884

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Solution

The fourth proportional to 3,940.32, 5,906.16 and 1,884 is: 2,823.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.32 : 5,906.16 = 1,884 : x
  2. Step 2: Convert to fraction form
    3,940.32/5,906.16 = 1,884/x
  3. Step 3: Cross multiply
    3,940.32x = 5,906.16 × 1,884
  4. Step 4: Simplify right side
    3,940.32x = 11,127,205.44
  5. Step 5: Solve for x
    x = 11,127,205.44/3,940.32
  6. Step 6: Final answer
    x = 2,823.93

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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.