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Finding the Fourth Proportional to 6,493.05, 8,960.51 and 3,698.49

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Solution

The fourth proportional to 6,493.05, 8,960.51 and 3,698.49 is: 5,103.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.05 : 8,960.51 = 3,698.49 : x
  2. Step 2: Convert to fraction form
    6,493.05/8,960.51 = 3,698.49/x
  3. Step 3: Cross multiply
    6,493.05x = 8,960.51 × 3,698.49
  4. Step 4: Simplify right side
    6,493.05x = 33,140,338.14
  5. Step 5: Solve for x
    x = 33,140,338.14/6,493.05
  6. Step 6: Final answer
    x = 5,103.97

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