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Finding the Fourth Proportional to 3,659.36, 5,489.62 and 1,579.96

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Solution

The fourth proportional to 3,659.36, 5,489.62 and 1,579.96 is: 2,370.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.36 : 5,489.62 = 1,579.96 : x
  2. Step 2: Convert to fraction form
    3,659.36/5,489.62 = 1,579.96/x
  3. Step 3: Cross multiply
    3,659.36x = 5,489.62 × 1,579.96
  4. Step 4: Simplify right side
    3,659.36x = 8,673,380.02
  5. Step 5: Solve for x
    x = 8,673,380.02/3,659.36
  6. Step 6: Final answer
    x = 2,370.19

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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.