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Finding the Fourth Proportional to 3,954.15, 5,454.09 and 3,113.46

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Solution

The fourth proportional to 3,954.15, 5,454.09 and 3,113.46 is: 4,294.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.15 : 5,454.09 = 3,113.46 : x
  2. Step 2: Convert to fraction form
    3,954.15/5,454.09 = 3,113.46/x
  3. Step 3: Cross multiply
    3,954.15x = 5,454.09 × 3,113.46
  4. Step 4: Simplify right side
    3,954.15x = 16,981,091.05
  5. Step 5: Solve for x
    x = 16,981,091.05/3,954.15
  6. Step 6: Final answer
    x = 4,294.50

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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.