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Finding the Fourth Proportional to 3,970.60, 5,951.44 and 1,863.26

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Solution

The fourth proportional to 3,970.60, 5,951.44 and 1,863.26 is: 2,792.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.60 : 5,951.44 = 1,863.26 : x
  2. Step 2: Convert to fraction form
    3,970.60/5,951.44 = 1,863.26/x
  3. Step 3: Cross multiply
    3,970.60x = 5,951.44 × 1,863.26
  4. Step 4: Simplify right side
    3,970.60x = 11,089,080.09
  5. Step 5: Solve for x
    x = 11,089,080.09/3,970.60
  6. Step 6: Final answer
    x = 2,792.80

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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.