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Finding the Fourth Proportional to 3,859.38, 5,789.08 and 937.68

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Solution

The fourth proportional to 3,859.38, 5,789.08 and 937.68 is: 1,406.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.38 : 5,789.08 = 937.68 : x
  2. Step 2: Convert to fraction form
    3,859.38/5,789.08 = 937.68/x
  3. Step 3: Cross multiply
    3,859.38x = 5,789.08 × 937.68
  4. Step 4: Simplify right side
    3,859.38x = 5,428,321.35
  5. Step 5: Solve for x
    x = 5,428,321.35/3,859.38
  6. Step 6: Final answer
    x = 1,406.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.