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Finding the Fourth Proportional to 3,768.20, 5,655.36 and 2,013.20

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Solution

The fourth proportional to 3,768.20, 5,655.36 and 2,013.20 is: 3,021.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.20 : 5,655.36 = 2,013.20 : x
  2. Step 2: Convert to fraction form
    3,768.20/5,655.36 = 2,013.20/x
  3. Step 3: Cross multiply
    3,768.20x = 5,655.36 × 2,013.20
  4. Step 4: Simplify right side
    3,768.20x = 11,385,370.75
  5. Step 5: Solve for x
    x = 11,385,370.75/3,768.20
  6. Step 6: Final answer
    x = 3,021.43

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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.