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Finding the Fourth Proportional to 6,333.05, 8,740.70 and 3,682

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Solution

The fourth proportional to 6,333.05, 8,740.70 and 3,682 is: 5,081.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333.05 : 8,740.70 = 3,682 : x
  2. Step 2: Convert to fraction form
    6,333.05/8,740.70 = 3,682/x
  3. Step 3: Cross multiply
    6,333.05x = 8,740.70 × 3,682
  4. Step 4: Simplify right side
    6,333.05x = 32,183,257.40
  5. Step 5: Solve for x
    x = 32,183,257.40/6,333.05
  6. Step 6: Final answer
    x = 5,081.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.