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Finding the Fourth Proportional to 3,993.75, 5,990.63 and 1,257.75

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Solution

The fourth proportional to 3,993.75, 5,990.63 and 1,257.75 is: 1,886.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.75 : 5,990.63 = 1,257.75 : x
  2. Step 2: Convert to fraction form
    3,993.75/5,990.63 = 1,257.75/x
  3. Step 3: Cross multiply
    3,993.75x = 5,990.63 × 1,257.75
  4. Step 4: Simplify right side
    3,993.75x = 7,534,708.59
  5. Step 5: Solve for x
    x = 7,534,708.59/3,993.75
  6. Step 6: Final answer
    x = 1,886.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.