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Finding the Fourth Proportional to 3,659.50, 5,454.50 and 3,446.47

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Solution

The fourth proportional to 3,659.50, 5,454.50 and 3,446.47 is: 5,136.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.50 : 5,454.50 = 3,446.47 : x
  2. Step 2: Convert to fraction form
    3,659.50/5,454.50 = 3,446.47/x
  3. Step 3: Cross multiply
    3,659.50x = 5,454.50 × 3,446.47
  4. Step 4: Simplify right side
    3,659.50x = 18,798,770.62
  5. Step 5: Solve for x
    x = 18,798,770.62/3,659.50
  6. Step 6: Final answer
    x = 5,136.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.