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Finding the Fourth Proportional to 3,865.20, 5,773.26 and 3,319.44

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Solution

The fourth proportional to 3,865.20, 5,773.26 and 3,319.44 is: 4,958.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.20 : 5,773.26 = 3,319.44 : x
  2. Step 2: Convert to fraction form
    3,865.20/5,773.26 = 3,319.44/x
  3. Step 3: Cross multiply
    3,865.20x = 5,773.26 × 3,319.44
  4. Step 4: Simplify right side
    3,865.20x = 19,163,990.17
  5. Step 5: Solve for x
    x = 19,163,990.17/3,865.20
  6. Step 6: Final answer
    x = 4,958.09

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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.