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Finding the Fourth Proportional to 3,609.24, 5,412 and 1,659.75

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Solution

The fourth proportional to 3,609.24, 5,412 and 1,659.75 is: 2,488.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.24 : 5,412 = 1,659.75 : x
  2. Step 2: Convert to fraction form
    3,609.24/5,412 = 1,659.75/x
  3. Step 3: Cross multiply
    3,609.24x = 5,412 × 1,659.75
  4. Step 4: Simplify right side
    3,609.24x = 8,982,567
  5. Step 5: Solve for x
    x = 8,982,567/3,609.24
  6. Step 6: Final answer
    x = 2,488.77

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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.