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Finding the Fourth Proportional to 3,618.55, 5,427 and 1,743.49

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Solution

The fourth proportional to 3,618.55, 5,427 and 1,743.49 is: 2,614.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,618.55 : 5,427 = 1,743.49 : x
  2. Step 2: Convert to fraction form
    3,618.55/5,427 = 1,743.49/x
  3. Step 3: Cross multiply
    3,618.55x = 5,427 × 1,743.49
  4. Step 4: Simplify right side
    3,618.55x = 9,461,893.10
  5. Step 5: Solve for x
    x = 9,461,893.10/3,618.55
  6. Step 6: Final answer
    x = 2,614.83

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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.