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Finding the Fourth Proportional to 3,678.60, 5,512.23 and 2,749.80

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Solution

The fourth proportional to 3,678.60, 5,512.23 and 2,749.80 is: 4,120.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.60 : 5,512.23 = 2,749.80 : x
  2. Step 2: Convert to fraction form
    3,678.60/5,512.23 = 2,749.80/x
  3. Step 3: Cross multiply
    3,678.60x = 5,512.23 × 2,749.80
  4. Step 4: Simplify right side
    3,678.60x = 15,157,530.05
  5. Step 5: Solve for x
    x = 15,157,530.05/3,678.60
  6. Step 6: Final answer
    x = 4,120.46

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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.