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Finding the Fourth Proportional to 3,954.39, 5,450.78 and 3,113.76

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Solution

The fourth proportional to 3,954.39, 5,450.78 and 3,113.76 is: 4,292.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.39 : 5,450.78 = 3,113.76 : x
  2. Step 2: Convert to fraction form
    3,954.39/5,450.78 = 3,113.76/x
  3. Step 3: Cross multiply
    3,954.39x = 5,450.78 × 3,113.76
  4. Step 4: Simplify right side
    3,954.39x = 16,972,405.16
  5. Step 5: Solve for x
    x = 16,972,405.16/3,954.39
  6. Step 6: Final answer
    x = 4,292.04

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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.