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Finding the Fourth Proportional to 3,855.95, 5,789.23 and 1,983.39

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Solution

The fourth proportional to 3,855.95, 5,789.23 and 1,983.39 is: 2,977.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.95 : 5,789.23 = 1,983.39 : x
  2. Step 2: Convert to fraction form
    3,855.95/5,789.23 = 1,983.39/x
  3. Step 3: Cross multiply
    3,855.95x = 5,789.23 × 1,983.39
  4. Step 4: Simplify right side
    3,855.95x = 11,482,290.32
  5. Step 5: Solve for x
    x = 11,482,290.32/3,855.95
  6. Step 6: Final answer
    x = 2,977.81

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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.