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Finding the Fourth Proportional to 6,049.69, 8,349.48 and 3,693.20

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Solution

The fourth proportional to 6,049.69, 8,349.48 and 3,693.20 is: 5,097.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049.69 : 8,349.48 = 3,693.20 : x
  2. Step 2: Convert to fraction form
    6,049.69/8,349.48 = 3,693.20/x
  3. Step 3: Cross multiply
    6,049.69x = 8,349.48 × 3,693.20
  4. Step 4: Simplify right side
    6,049.69x = 30,836,299.54
  5. Step 5: Solve for x
    x = 30,836,299.54/6,049.69
  6. Step 6: Final answer
    x = 5,097.17

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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.