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Finding the Fourth Proportional to 3,459.48, 5,189.40 and 1,727.52

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Solution

The fourth proportional to 3,459.48, 5,189.40 and 1,727.52 is: 2,591.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.48 : 5,189.40 = 1,727.52 : x
  2. Step 2: Convert to fraction form
    3,459.48/5,189.40 = 1,727.52/x
  3. Step 3: Cross multiply
    3,459.48x = 5,189.40 × 1,727.52
  4. Step 4: Simplify right side
    3,459.48x = 8,964,792.29
  5. Step 5: Solve for x
    x = 8,964,792.29/3,459.48
  6. Step 6: Final answer
    x = 2,591.37

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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.