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Finding the Fourth Proportional to 3,459.69, 5,190.03 and 1,268.19

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Solution

The fourth proportional to 3,459.69, 5,190.03 and 1,268.19 is: 1,902.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.69 : 5,190.03 = 1,268.19 : x
  2. Step 2: Convert to fraction form
    3,459.69/5,190.03 = 1,268.19/x
  3. Step 3: Cross multiply
    3,459.69x = 5,190.03 × 1,268.19
  4. Step 4: Simplify right side
    3,459.69x = 6,581,944.15
  5. Step 5: Solve for x
    x = 6,581,944.15/3,459.69
  6. Step 6: Final answer
    x = 1,902.47

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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.