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Finding the Fourth Proportional to 3,401.50, 5,104.41 and 1,349.50

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Solution

The fourth proportional to 3,401.50, 5,104.41 and 1,349.50 is: 2,025.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.50 : 5,104.41 = 1,349.50 : x
  2. Step 2: Convert to fraction form
    3,401.50/5,104.41 = 1,349.50/x
  3. Step 3: Cross multiply
    3,401.50x = 5,104.41 × 1,349.50
  4. Step 4: Simplify right side
    3,401.50x = 6,888,401.30
  5. Step 5: Solve for x
    x = 6,888,401.30/3,401.50
  6. Step 6: Final answer
    x = 2,025.11

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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.