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Finding the Fourth Proportional to 3,609.70, 5,414.73 and 1,012.30

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Solution

The fourth proportional to 3,609.70, 5,414.73 and 1,012.30 is: 1,518.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.70 : 5,414.73 = 1,012.30 : x
  2. Step 2: Convert to fraction form
    3,609.70/5,414.73 = 1,012.30/x
  3. Step 3: Cross multiply
    3,609.70x = 5,414.73 × 1,012.30
  4. Step 4: Simplify right side
    3,609.70x = 5,481,331.18
  5. Step 5: Solve for x
    x = 5,481,331.18/3,609.70
  6. Step 6: Final answer
    x = 1,518.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.