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Finding the Fourth Proportional to 3,459.89, 5,190.59 and 1,268.64

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Solution

The fourth proportional to 3,459.89, 5,190.59 and 1,268.64 is: 1,903.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.89 : 5,190.59 = 1,268.64 : x
  2. Step 2: Convert to fraction form
    3,459.89/5,190.59 = 1,268.64/x
  3. Step 3: Cross multiply
    3,459.89x = 5,190.59 × 1,268.64
  4. Step 4: Simplify right side
    3,459.89x = 6,584,990.10
  5. Step 5: Solve for x
    x = 6,584,990.10/3,459.89
  6. Step 6: Final answer
    x = 1,903.24

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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.