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Finding the Fourth Proportional to 3,584.62, 5,375.96 and 1,086.06

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Solution

The fourth proportional to 3,584.62, 5,375.96 and 1,086.06 is: 1,628.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.62 : 5,375.96 = 1,086.06 : x
  2. Step 2: Convert to fraction form
    3,584.62/5,375.96 = 1,086.06/x
  3. Step 3: Cross multiply
    3,584.62x = 5,375.96 × 1,086.06
  4. Step 4: Simplify right side
    3,584.62x = 5,838,615.12
  5. Step 5: Solve for x
    x = 5,838,615.12/3,584.62
  6. Step 6: Final answer
    x = 1,628.80

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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.