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Finding the Fourth Proportional to 3,927.70, 5,891.55 and 2,542.60

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Solution

The fourth proportional to 3,927.70, 5,891.55 and 2,542.60 is: 3,813.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.70 : 5,891.55 = 2,542.60 : x
  2. Step 2: Convert to fraction form
    3,927.70/5,891.55 = 2,542.60/x
  3. Step 3: Cross multiply
    3,927.70x = 5,891.55 × 2,542.60
  4. Step 4: Simplify right side
    3,927.70x = 14,979,855.03
  5. Step 5: Solve for x
    x = 14,979,855.03/3,927.70
  6. Step 6: Final answer
    x = 3,813.90

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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.