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Finding the Fourth Proportional to 6,666.57, 9,199.83 and 3,682.39

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Solution

The fourth proportional to 6,666.57, 9,199.83 and 3,682.39 is: 5,081.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,666.57 : 9,199.83 = 3,682.39 : x
  2. Step 2: Convert to fraction form
    6,666.57/9,199.83 = 3,682.39/x
  3. Step 3: Cross multiply
    6,666.57x = 9,199.83 × 3,682.39
  4. Step 4: Simplify right side
    6,666.57x = 33,877,297.58
  5. Step 5: Solve for x
    x = 33,877,297.58/6,666.57
  6. Step 6: Final answer
    x = 5,081.67

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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.