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Finding the Fourth Proportional to 3,659.26, 5,484.12 and 3,195.94

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Solution

The fourth proportional to 3,659.26, 5,484.12 and 3,195.94 is: 4,789.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.26 : 5,484.12 = 3,195.94 : x
  2. Step 2: Convert to fraction form
    3,659.26/5,484.12 = 3,195.94/x
  3. Step 3: Cross multiply
    3,659.26x = 5,484.12 × 3,195.94
  4. Step 4: Simplify right side
    3,659.26x = 17,526,918.47
  5. Step 5: Solve for x
    x = 17,526,918.47/3,659.26
  6. Step 6: Final answer
    x = 4,789.74

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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.