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Finding the Fourth Proportional to 3,401.96, 5,091.98 and 1,756.24

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Solution

The fourth proportional to 3,401.96, 5,091.98 and 1,756.24 is: 2,628.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.96 : 5,091.98 = 1,756.24 : x
  2. Step 2: Convert to fraction form
    3,401.96/5,091.98 = 1,756.24/x
  3. Step 3: Cross multiply
    3,401.96x = 5,091.98 × 1,756.24
  4. Step 4: Simplify right side
    3,401.96x = 8,942,717.44
  5. Step 5: Solve for x
    x = 8,942,717.44/3,401.96
  6. Step 6: Final answer
    x = 2,628.70

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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.