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Finding the Fourth Proportional to 3,645.35, 5,472.36 and 3,496.81

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Solution

The fourth proportional to 3,645.35, 5,472.36 and 3,496.81 is: 5,249.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.35 : 5,472.36 = 3,496.81 : x
  2. Step 2: Convert to fraction form
    3,645.35/5,472.36 = 3,496.81/x
  3. Step 3: Cross multiply
    3,645.35x = 5,472.36 × 3,496.81
  4. Step 4: Simplify right side
    3,645.35x = 19,135,803.17
  5. Step 5: Solve for x
    x = 19,135,803.17/3,645.35
  6. Step 6: Final answer
    x = 5,249.37

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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.