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Finding the Fourth Proportional to 3,889.62, 5,834.35 and 967.95

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Solution

The fourth proportional to 3,889.62, 5,834.35 and 967.95 is: 1,451.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.62 : 5,834.35 = 967.95 : x
  2. Step 2: Convert to fraction form
    3,889.62/5,834.35 = 967.95/x
  3. Step 3: Cross multiply
    3,889.62x = 5,834.35 × 967.95
  4. Step 4: Simplify right side
    3,889.62x = 5,647,359.08
  5. Step 5: Solve for x
    x = 5,647,359.08/3,889.62
  6. Step 6: Final answer
    x = 1,451.91

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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.