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Finding the Fourth Proportional to 5,311.12, 7,967.64 and 1,847.44

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Solution

The fourth proportional to 5,311.12, 7,967.64 and 1,847.44 is: 2,771.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.12 : 7,967.64 = 1,847.44 : x
  2. Step 2: Convert to fraction form
    5,311.12/7,967.64 = 1,847.44/x
  3. Step 3: Cross multiply
    5,311.12x = 7,967.64 × 1,847.44
  4. Step 4: Simplify right side
    5,311.12x = 14,719,736.84
  5. Step 5: Solve for x
    x = 14,719,736.84/5,311.12
  6. Step 6: Final answer
    x = 2,771.49

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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.