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Finding the Fourth Proportional to 5,635.41, 7,769.78 and 3,615.26

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Solution

The fourth proportional to 5,635.41, 7,769.78 and 3,615.26 is: 4,984.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.41 : 7,769.78 = 3,615.26 : x
  2. Step 2: Convert to fraction form
    5,635.41/7,769.78 = 3,615.26/x
  3. Step 3: Cross multiply
    5,635.41x = 7,769.78 × 3,615.26
  4. Step 4: Simplify right side
    5,635.41x = 28,089,717.92
  5. Step 5: Solve for x
    x = 28,089,717.92/5,635.41
  6. Step 6: Final answer
    x = 4,984.50

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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.