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Finding the Fourth Proportional to 5,384.80, 8,074.20 and 2,261.44

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Solution

The fourth proportional to 5,384.80, 8,074.20 and 2,261.44 is: 3,390.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.80 : 8,074.20 = 2,261.44 : x
  2. Step 2: Convert to fraction form
    5,384.80/8,074.20 = 2,261.44/x
  3. Step 3: Cross multiply
    5,384.80x = 8,074.20 × 2,261.44
  4. Step 4: Simplify right side
    5,384.80x = 18,259,318.85
  5. Step 5: Solve for x
    x = 18,259,318.85/5,384.80
  6. Step 6: Final answer
    x = 3,390.90

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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.