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Finding the Fourth Proportional to 5,759.67, 7,939.86 and 4,075.86

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Solution

The fourth proportional to 5,759.67, 7,939.86 and 4,075.86 is: 5,618.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.67 : 7,939.86 = 4,075.86 : x
  2. Step 2: Convert to fraction form
    5,759.67/7,939.86 = 4,075.86/x
  3. Step 3: Cross multiply
    5,759.67x = 7,939.86 × 4,075.86
  4. Step 4: Simplify right side
    5,759.67x = 32,361,757.78
  5. Step 5: Solve for x
    x = 32,361,757.78/5,759.67
  6. Step 6: Final answer
    x = 5,618.68

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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.