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Finding the Fourth Proportional to 5,649.69, 7,796.79 and 3,496.71

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Solution

The fourth proportional to 5,649.69, 7,796.79 and 3,496.71 is: 4,825.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.69 : 7,796.79 = 3,496.71 : x
  2. Step 2: Convert to fraction form
    5,649.69/7,796.79 = 3,496.71/x
  3. Step 3: Cross multiply
    5,649.69x = 7,796.79 × 3,496.71
  4. Step 4: Simplify right side
    5,649.69x = 27,263,113.56
  5. Step 5: Solve for x
    x = 27,263,113.56/5,649.69
  6. Step 6: Final answer
    x = 4,825.59

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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.