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Finding the Fourth Proportional to 3,778.62, 5,663.85 and 1,828.14

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Solution

The fourth proportional to 3,778.62, 5,663.85 and 1,828.14 is: 2,740.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.62 : 5,663.85 = 1,828.14 : x
  2. Step 2: Convert to fraction form
    3,778.62/5,663.85 = 1,828.14/x
  3. Step 3: Cross multiply
    3,778.62x = 5,663.85 × 1,828.14
  4. Step 4: Simplify right side
    3,778.62x = 10,354,310.74
  5. Step 5: Solve for x
    x = 10,354,310.74/3,778.62
  6. Step 6: Final answer
    x = 2,740.24

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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.