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Finding the Fourth Proportional to 3,819, 5,730.42 and 1,480.61

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Solution

The fourth proportional to 3,819, 5,730.42 and 1,480.61 is: 2,221.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819 : 5,730.42 = 1,480.61 : x
  2. Step 2: Convert to fraction form
    3,819/5,730.42 = 1,480.61/x
  3. Step 3: Cross multiply
    3,819x = 5,730.42 × 1,480.61
  4. Step 4: Simplify right side
    3,819x = 8,484,517.16
  5. Step 5: Solve for x
    x = 8,484,517.16/3,819
  6. Step 6: Final answer
    x = 2,221.66

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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.