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Finding the Fourth Proportional to 3,889.52, 5,834.26 and 3,022

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Solution

The fourth proportional to 3,889.52, 5,834.26 and 3,022 is: 4,532.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.52 : 5,834.26 = 3,022 : x
  2. Step 2: Convert to fraction form
    3,889.52/5,834.26 = 3,022/x
  3. Step 3: Cross multiply
    3,889.52x = 5,834.26 × 3,022
  4. Step 4: Simplify right side
    3,889.52x = 17,631,133.72
  5. Step 5: Solve for x
    x = 17,631,133.72/3,889.52
  6. Step 6: Final answer
    x = 4,532.98

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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.