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Finding the Fourth Proportional to 3,401.96, 5,105.66 and 1,758.98

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Solution

The fourth proportional to 3,401.96, 5,105.66 and 1,758.98 is: 2,639.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.96 : 5,105.66 = 1,758.98 : x
  2. Step 2: Convert to fraction form
    3,401.96/5,105.66 = 1,758.98/x
  3. Step 3: Cross multiply
    3,401.96x = 5,105.66 × 1,758.98
  4. Step 4: Simplify right side
    3,401.96x = 8,980,719.50
  5. Step 5: Solve for x
    x = 8,980,719.50/3,401.96
  6. Step 6: Final answer
    x = 2,639.87

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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.