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Finding the Fourth Proportional to 3,609.10, 5,412.84 and 1,659.43

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Solution

The fourth proportional to 3,609.10, 5,412.84 and 1,659.43 is: 2,488.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.10 : 5,412.84 = 1,659.43 : x
  2. Step 2: Convert to fraction form
    3,609.10/5,412.84 = 1,659.43/x
  3. Step 3: Cross multiply
    3,609.10x = 5,412.84 × 1,659.43
  4. Step 4: Simplify right side
    3,609.10x = 8,982,229.08
  5. Step 5: Solve for x
    x = 8,982,229.08/3,609.10
  6. Step 6: Final answer
    x = 2,488.77

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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.