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Finding the Fourth Proportional to 5,369.20, 8,051.10 and 3,178.60

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Solution

The fourth proportional to 5,369.20, 8,051.10 and 3,178.60 is: 4,766.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369.20 : 8,051.10 = 3,178.60 : x
  2. Step 2: Convert to fraction form
    5,369.20/8,051.10 = 3,178.60/x
  3. Step 3: Cross multiply
    5,369.20x = 8,051.10 × 3,178.60
  4. Step 4: Simplify right side
    5,369.20x = 25,591,226.46
  5. Step 5: Solve for x
    x = 25,591,226.46/5,369.20
  6. Step 6: Final answer
    x = 4,766.30

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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.