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Finding the Fourth Proportional to 3,682.62, 5,523.94 and 946.62

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Solution

The fourth proportional to 3,682.62, 5,523.94 and 946.62 is: 1,419.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.62 : 5,523.94 = 946.62 : x
  2. Step 2: Convert to fraction form
    3,682.62/5,523.94 = 946.62/x
  3. Step 3: Cross multiply
    3,682.62x = 5,523.94 × 946.62
  4. Step 4: Simplify right side
    3,682.62x = 5,229,072.08
  5. Step 5: Solve for x
    x = 5,229,072.08/3,682.62
  6. Step 6: Final answer
    x = 1,419.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.