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Finding the Fourth Proportional to 3,777.70, 5,213.48 and 2,285.68

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Solution

The fourth proportional to 3,777.70, 5,213.48 and 2,285.68 is: 3,154.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.70 : 5,213.48 = 2,285.68 : x
  2. Step 2: Convert to fraction form
    3,777.70/5,213.48 = 2,285.68/x
  3. Step 3: Cross multiply
    3,777.70x = 5,213.48 × 2,285.68
  4. Step 4: Simplify right side
    3,777.70x = 11,916,346.97
  5. Step 5: Solve for x
    x = 11,916,346.97/3,777.70
  6. Step 6: Final answer
    x = 3,154.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.