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Finding the Fourth Proportional to 3,402.45, 5,106.41 and 1,759.48

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Solution

The fourth proportional to 3,402.45, 5,106.41 and 1,759.48 is: 2,640.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.45 : 5,106.41 = 1,759.48 : x
  2. Step 2: Convert to fraction form
    3,402.45/5,106.41 = 1,759.48/x
  3. Step 3: Cross multiply
    3,402.45x = 5,106.41 × 1,759.48
  4. Step 4: Simplify right side
    3,402.45x = 8,984,626.27
  5. Step 5: Solve for x
    x = 8,984,626.27/3,402.45
  6. Step 6: Final answer
    x = 2,640.63

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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.