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Finding the Fourth Proportional to 3,401.62, 5,100.09 and 1,179.89

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Solution

The fourth proportional to 3,401.62, 5,100.09 and 1,179.89 is: 1,769.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.62 : 5,100.09 = 1,179.89 : x
  2. Step 2: Convert to fraction form
    3,401.62/5,100.09 = 1,179.89/x
  3. Step 3: Cross multiply
    3,401.62x = 5,100.09 × 1,179.89
  4. Step 4: Simplify right side
    3,401.62x = 6,017,545.19
  5. Step 5: Solve for x
    x = 6,017,545.19/3,401.62
  6. Step 6: Final answer
    x = 1,769.02

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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.