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Finding the Fourth Proportional to 3,859.38, 5,789.03 and 937.69

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Solution

The fourth proportional to 3,859.38, 5,789.03 and 937.69 is: 1,406.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.38 : 5,789.03 = 937.69 : x
  2. Step 2: Convert to fraction form
    3,859.38/5,789.03 = 937.69/x
  3. Step 3: Cross multiply
    3,859.38x = 5,789.03 × 937.69
  4. Step 4: Simplify right side
    3,859.38x = 5,428,296.38
  5. Step 5: Solve for x
    x = 5,428,296.38/3,859.38
  6. Step 6: Final answer
    x = 1,406.52

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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.