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Finding the Fourth Proportional to 5,649.75, 7,796.66 and 3,441.75

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Solution

The fourth proportional to 5,649.75, 7,796.66 and 3,441.75 is: 4,749.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.75 : 7,796.66 = 3,441.75 : x
  2. Step 2: Convert to fraction form
    5,649.75/7,796.66 = 3,441.75/x
  3. Step 3: Cross multiply
    5,649.75x = 7,796.66 × 3,441.75
  4. Step 4: Simplify right side
    5,649.75x = 26,834,154.56
  5. Step 5: Solve for x
    x = 26,834,154.56/5,649.75
  6. Step 6: Final answer
    x = 4,749.62

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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.