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Finding the Fourth Proportional to 3,942.54, 5,441.11 and 2,946.11

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Solution

The fourth proportional to 3,942.54, 5,441.11 and 2,946.11 is: 4,065.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.54 : 5,441.11 = 2,946.11 : x
  2. Step 2: Convert to fraction form
    3,942.54/5,441.11 = 2,946.11/x
  3. Step 3: Cross multiply
    3,942.54x = 5,441.11 × 2,946.11
  4. Step 4: Simplify right side
    3,942.54x = 16,030,074.01
  5. Step 5: Solve for x
    x = 16,030,074.01/3,942.54
  6. Step 6: Final answer
    x = 4,065.93

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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.