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Finding the Fourth Proportional to 3,512.64, 4,847.15 and 2,020.26

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Solution

The fourth proportional to 3,512.64, 4,847.15 and 2,020.26 is: 2,787.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.64 : 4,847.15 = 2,020.26 : x
  2. Step 2: Convert to fraction form
    3,512.64/4,847.15 = 2,020.26/x
  3. Step 3: Cross multiply
    3,512.64x = 4,847.15 × 2,020.26
  4. Step 4: Simplify right side
    3,512.64x = 9,792,503.26
  5. Step 5: Solve for x
    x = 9,792,503.26/3,512.64
  6. Step 6: Final answer
    x = 2,787.79

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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.