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Finding the Fourth Proportional to 3,286.58, 4,930.19 and 1,206.08

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Solution

The fourth proportional to 3,286.58, 4,930.19 and 1,206.08 is: 1,809.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.58 : 4,930.19 = 1,206.08 : x
  2. Step 2: Convert to fraction form
    3,286.58/4,930.19 = 1,206.08/x
  3. Step 3: Cross multiply
    3,286.58x = 4,930.19 × 1,206.08
  4. Step 4: Simplify right side
    3,286.58x = 5,946,203.56
  5. Step 5: Solve for x
    x = 5,946,203.56/3,286.58
  6. Step 6: Final answer
    x = 1,809.24

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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.