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Finding the Fourth Proportional to 3,404.10, 5,102.10 and 1,759.80

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Solution

The fourth proportional to 3,404.10, 5,102.10 and 1,759.80 is: 2,637.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.10 : 5,102.10 = 1,759.80 : x
  2. Step 2: Convert to fraction form
    3,404.10/5,102.10 = 1,759.80/x
  3. Step 3: Cross multiply
    3,404.10x = 5,102.10 × 1,759.80
  4. Step 4: Simplify right side
    3,404.10x = 8,978,675.58
  5. Step 5: Solve for x
    x = 8,978,675.58/3,404.10
  6. Step 6: Final answer
    x = 2,637.61

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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.