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Finding the Fourth Proportional to 3,286.74, 4,932 and 1,338.96

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Solution

The fourth proportional to 3,286.74, 4,932 and 1,338.96 is: 2,009.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.74 : 4,932 = 1,338.96 : x
  2. Step 2: Convert to fraction form
    3,286.74/4,932 = 1,338.96/x
  3. Step 3: Cross multiply
    3,286.74x = 4,932 × 1,338.96
  4. Step 4: Simplify right side
    3,286.74x = 6,603,750.72
  5. Step 5: Solve for x
    x = 6,603,750.72/3,286.74
  6. Step 6: Final answer
    x = 2,009.21

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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.