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Finding the Fourth Proportional to 3,855.28, 5,752.66 and 3,620.20

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Solution

The fourth proportional to 3,855.28, 5,752.66 and 3,620.20 is: 5,401.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.28 : 5,752.66 = 3,620.20 : x
  2. Step 2: Convert to fraction form
    3,855.28/5,752.66 = 3,620.20/x
  3. Step 3: Cross multiply
    3,855.28x = 5,752.66 × 3,620.20
  4. Step 4: Simplify right side
    3,855.28x = 20,825,779.73
  5. Step 5: Solve for x
    x = 20,825,779.73/3,855.28
  6. Step 6: Final answer
    x = 5,401.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.