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Finding the Fourth Proportional to 3,496.53, 5,237.26 and 1,644.87

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Solution

The fourth proportional to 3,496.53, 5,237.26 and 1,644.87 is: 2,463.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.53 : 5,237.26 = 1,644.87 : x
  2. Step 2: Convert to fraction form
    3,496.53/5,237.26 = 1,644.87/x
  3. Step 3: Cross multiply
    3,496.53x = 5,237.26 × 1,644.87
  4. Step 4: Simplify right side
    3,496.53x = 8,614,611.86
  5. Step 5: Solve for x
    x = 8,614,611.86/3,496.53
  6. Step 6: Final answer
    x = 2,463.76

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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.