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Finding the Fourth Proportional to 6,344.75, 8,759.60 and 4,140.59

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Solution

The fourth proportional to 6,344.75, 8,759.60 and 4,140.59 is: 5,716.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.75 : 8,759.60 = 4,140.59 : x
  2. Step 2: Convert to fraction form
    6,344.75/8,759.60 = 4,140.59/x
  3. Step 3: Cross multiply
    6,344.75x = 8,759.60 × 4,140.59
  4. Step 4: Simplify right side
    6,344.75x = 36,269,891.46
  5. Step 5: Solve for x
    x = 36,269,891.46/6,344.75
  6. Step 6: Final answer
    x = 5,716.52

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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.