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Finding the Fourth Proportional to 3,609.47, 5,414.42 and 1,012.41

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Solution

The fourth proportional to 3,609.47, 5,414.42 and 1,012.41 is: 1,518.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.47 : 5,414.42 = 1,012.41 : x
  2. Step 2: Convert to fraction form
    3,609.47/5,414.42 = 1,012.41/x
  3. Step 3: Cross multiply
    3,609.47x = 5,414.42 × 1,012.41
  4. Step 4: Simplify right side
    3,609.47x = 5,481,615.48
  5. Step 5: Solve for x
    x = 5,481,615.48/3,609.47
  6. Step 6: Final answer
    x = 1,518.67

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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.