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Finding the Fourth Proportional to 3,794.34, 5,687.90 and 1,327.54

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Solution

The fourth proportional to 3,794.34, 5,687.90 and 1,327.54 is: 1,990.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.34 : 5,687.90 = 1,327.54 : x
  2. Step 2: Convert to fraction form
    3,794.34/5,687.90 = 1,327.54/x
  3. Step 3: Cross multiply
    3,794.34x = 5,687.90 × 1,327.54
  4. Step 4: Simplify right side
    3,794.34x = 7,550,914.77
  5. Step 5: Solve for x
    x = 7,550,914.77/3,794.34
  6. Step 6: Final answer
    x = 1,990.05

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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.