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Finding the Fourth Proportional to 3,664.52, 5,496.81 and 1,199.51

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Solution

The fourth proportional to 3,664.52, 5,496.81 and 1,199.51 is: 1,799.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.52 : 5,496.81 = 1,199.51 : x
  2. Step 2: Convert to fraction form
    3,664.52/5,496.81 = 1,199.51/x
  3. Step 3: Cross multiply
    3,664.52x = 5,496.81 × 1,199.51
  4. Step 4: Simplify right side
    3,664.52x = 6,593,473.94
  5. Step 5: Solve for x
    x = 6,593,473.94/3,664.52
  6. Step 6: Final answer
    x = 1,799.28

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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.