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Finding the Fourth Proportional to 3,609.05, 5,414.18 and 1,144.55

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Solution

The fourth proportional to 3,609.05, 5,414.18 and 1,144.55 is: 1,717.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.05 : 5,414.18 = 1,144.55 : x
  2. Step 2: Convert to fraction form
    3,609.05/5,414.18 = 1,144.55/x
  3. Step 3: Cross multiply
    3,609.05x = 5,414.18 × 1,144.55
  4. Step 4: Simplify right side
    3,609.05x = 6,196,807.53
  5. Step 5: Solve for x
    x = 6,196,807.53/3,609.05
  6. Step 6: Final answer
    x = 1,717.02

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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.