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Finding the Fourth Proportional to 3,855.28, 5,780.68 and 1,512.54

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Solution

The fourth proportional to 3,855.28, 5,780.68 and 1,512.54 is: 2,267.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.28 : 5,780.68 = 1,512.54 : x
  2. Step 2: Convert to fraction form
    3,855.28/5,780.68 = 1,512.54/x
  3. Step 3: Cross multiply
    3,855.28x = 5,780.68 × 1,512.54
  4. Step 4: Simplify right side
    3,855.28x = 8,743,509.73
  5. Step 5: Solve for x
    x = 8,743,509.73/3,855.28
  6. Step 6: Final answer
    x = 2,267.93

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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.