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Finding the Fourth Proportional to 3,403, 5,104.50 and 1,352.44

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Solution

The fourth proportional to 3,403, 5,104.50 and 1,352.44 is: 2,028.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403 : 5,104.50 = 1,352.44 : x
  2. Step 2: Convert to fraction form
    3,403/5,104.50 = 1,352.44/x
  3. Step 3: Cross multiply
    3,403x = 5,104.50 × 1,352.44
  4. Step 4: Simplify right side
    3,403x = 6,903,529.98
  5. Step 5: Solve for x
    x = 6,903,529.98/3,403
  6. Step 6: Final answer
    x = 2,028.66

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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.