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Finding the Fourth Proportional to 3,286.91, 4,930.36 and 1,095.64

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Solution

The fourth proportional to 3,286.91, 4,930.36 and 1,095.64 is: 1,643.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.91 : 4,930.36 = 1,095.64 : x
  2. Step 2: Convert to fraction form
    3,286.91/4,930.36 = 1,095.64/x
  3. Step 3: Cross multiply
    3,286.91x = 4,930.36 × 1,095.64
  4. Step 4: Simplify right side
    3,286.91x = 5,401,879.56
  5. Step 5: Solve for x
    x = 5,401,879.56/3,286.91
  6. Step 6: Final answer
    x = 1,643.45

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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.