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Finding the Fourth Proportional to 3,643.70, 5,461.41 and 3,204.09

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Solution

The fourth proportional to 3,643.70, 5,461.41 and 3,204.09 is: 4,802.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.70 : 5,461.41 = 3,204.09 : x
  2. Step 2: Convert to fraction form
    3,643.70/5,461.41 = 3,204.09/x
  3. Step 3: Cross multiply
    3,643.70x = 5,461.41 × 3,204.09
  4. Step 4: Simplify right side
    3,643.70x = 17,498,843.16
  5. Step 5: Solve for x
    x = 17,498,843.16/3,643.70
  6. Step 6: Final answer
    x = 4,802.49

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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.