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Finding the Fourth Proportional to 3,459.47, 5,189.21 and 1,268.38

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Solution

The fourth proportional to 3,459.47, 5,189.21 and 1,268.38 is: 1,902.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.47 : 5,189.21 = 1,268.38 : x
  2. Step 2: Convert to fraction form
    3,459.47/5,189.21 = 1,268.38/x
  3. Step 3: Cross multiply
    3,459.47x = 5,189.21 × 1,268.38
  4. Step 4: Simplify right side
    3,459.47x = 6,581,870.86
  5. Step 5: Solve for x
    x = 6,581,870.86/3,459.47
  6. Step 6: Final answer
    x = 1,902.56

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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.