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Finding the Fourth Proportional to 3,543.72, 5,287.94 and 3,523.32

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Solution

The fourth proportional to 3,543.72, 5,287.94 and 3,523.32 is: 5,257.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.72 : 5,287.94 = 3,523.32 : x
  2. Step 2: Convert to fraction form
    3,543.72/5,287.94 = 3,523.32/x
  3. Step 3: Cross multiply
    3,543.72x = 5,287.94 × 3,523.32
  4. Step 4: Simplify right side
    3,543.72x = 18,631,087.14
  5. Step 5: Solve for x
    x = 18,631,087.14/3,543.72
  6. Step 6: Final answer
    x = 5,257.49

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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.