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Finding the Fourth Proportional to 3,081.75, 4,255.03 and 2,782.40

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Solution

The fourth proportional to 3,081.75, 4,255.03 and 2,782.40 is: 3,841.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,081.75 : 4,255.03 = 2,782.40 : x
  2. Step 2: Convert to fraction form
    3,081.75/4,255.03 = 2,782.40/x
  3. Step 3: Cross multiply
    3,081.75x = 4,255.03 × 2,782.40
  4. Step 4: Simplify right side
    3,081.75x = 11,839,201.61
  5. Step 5: Solve for x
    x = 11,839,201.61/3,081.75
  6. Step 6: Final answer
    x = 3,841.72

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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.