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Finding the Fourth Proportional to 3,992.62, 5,974.35 and 2,349.94

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Solution

The fourth proportional to 3,992.62, 5,974.35 and 2,349.94 is: 3,516.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.62 : 5,974.35 = 2,349.94 : x
  2. Step 2: Convert to fraction form
    3,992.62/5,974.35 = 2,349.94/x
  3. Step 3: Cross multiply
    3,992.62x = 5,974.35 × 2,349.94
  4. Step 4: Simplify right side
    3,992.62x = 14,039,364.04
  5. Step 5: Solve for x
    x = 14,039,364.04/3,992.62
  6. Step 6: Final answer
    x = 3,516.33

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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.