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Finding the Fourth Proportional to 5,447.70, 8,171.63 and 1,343.70

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Solution

The fourth proportional to 5,447.70, 8,171.63 and 1,343.70 is: 2,015.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,447.70 : 8,171.63 = 1,343.70 : x
  2. Step 2: Convert to fraction form
    5,447.70/8,171.63 = 1,343.70/x
  3. Step 3: Cross multiply
    5,447.70x = 8,171.63 × 1,343.70
  4. Step 4: Simplify right side
    5,447.70x = 10,980,219.23
  5. Step 5: Solve for x
    x = 10,980,219.23/5,447.70
  6. Step 6: Final answer
    x = 2,015.57

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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.