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Finding the Fourth Proportional to 5,759.34, 7,936.83 and 4,100.46

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Solution

The fourth proportional to 5,759.34, 7,936.83 and 4,100.46 is: 5,650.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.34 : 7,936.83 = 4,100.46 : x
  2. Step 2: Convert to fraction form
    5,759.34/7,936.83 = 4,100.46/x
  3. Step 3: Cross multiply
    5,759.34x = 7,936.83 × 4,100.46
  4. Step 4: Simplify right side
    5,759.34x = 32,544,653.94
  5. Step 5: Solve for x
    x = 32,544,653.94/5,759.34
  6. Step 6: Final answer
    x = 5,650.76

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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.