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Finding the Fourth Proportional to 3,889.73, 5,834.47 and 968.03

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Solution

The fourth proportional to 3,889.73, 5,834.47 and 968.03 is: 1,452.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.73 : 5,834.47 = 968.03 : x
  2. Step 2: Convert to fraction form
    3,889.73/5,834.47 = 968.03/x
  3. Step 3: Cross multiply
    3,889.73x = 5,834.47 × 968.03
  4. Step 4: Simplify right side
    3,889.73x = 5,647,941.99
  5. Step 5: Solve for x
    x = 5,647,941.99/3,889.73
  6. Step 6: Final answer
    x = 1,452.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.