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Finding the Fourth Proportional to 3,942.49, 5,913.56 and 980.87

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Solution

The fourth proportional to 3,942.49, 5,913.56 and 980.87 is: 1,471.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.49 : 5,913.56 = 980.87 : x
  2. Step 2: Convert to fraction form
    3,942.49/5,913.56 = 980.87/x
  3. Step 3: Cross multiply
    3,942.49x = 5,913.56 × 980.87
  4. Step 4: Simplify right side
    3,942.49x = 5,800,450.83
  5. Step 5: Solve for x
    x = 5,800,450.83/3,942.49
  6. Step 6: Final answer
    x = 1,471.27

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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.