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Finding the Fourth Proportional to 3,489.44, 5,203.01 and 3,343.64

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Solution

The fourth proportional to 3,489.44, 5,203.01 and 3,343.64 is: 4,985.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.44 : 5,203.01 = 3,343.64 : x
  2. Step 2: Convert to fraction form
    3,489.44/5,203.01 = 3,343.64/x
  3. Step 3: Cross multiply
    3,489.44x = 5,203.01 × 3,343.64
  4. Step 4: Simplify right side
    3,489.44x = 17,396,974.70
  5. Step 5: Solve for x
    x = 17,396,974.70/3,489.44
  6. Step 6: Final answer
    x = 4,985.61

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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.