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Finding the Fourth Proportional to 3,512.44, 5,265.78 and 2,827

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Solution

The fourth proportional to 3,512.44, 5,265.78 and 2,827 is: 4,238.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.44 : 5,265.78 = 2,827 : x
  2. Step 2: Convert to fraction form
    3,512.44/5,265.78 = 2,827/x
  3. Step 3: Cross multiply
    3,512.44x = 5,265.78 × 2,827
  4. Step 4: Simplify right side
    3,512.44x = 14,886,360.06
  5. Step 5: Solve for x
    x = 14,886,360.06/3,512.44
  6. Step 6: Final answer
    x = 4,238.18

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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.