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Finding the Fourth Proportional to 4,100.63, 6,150.94 and 1,759.12

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Solution

The fourth proportional to 4,100.63, 6,150.94 and 1,759.12 is: 2,638.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100.63 : 6,150.94 = 1,759.12 : x
  2. Step 2: Convert to fraction form
    4,100.63/6,150.94 = 1,759.12/x
  3. Step 3: Cross multiply
    4,100.63x = 6,150.94 × 1,759.12
  4. Step 4: Simplify right side
    4,100.63x = 10,820,241.57
  5. Step 5: Solve for x
    x = 10,820,241.57/4,100.63
  6. Step 6: Final answer
    x = 2,638.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.