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Finding the Fourth Proportional to 3,859.56, 5,789.33 and 937.87

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Solution

The fourth proportional to 3,859.56, 5,789.33 and 937.87 is: 1,406.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.56 : 5,789.33 = 937.87 : x
  2. Step 2: Convert to fraction form
    3,859.56/5,789.33 = 937.87/x
  3. Step 3: Cross multiply
    3,859.56x = 5,789.33 × 937.87
  4. Step 4: Simplify right side
    3,859.56x = 5,429,626.80
  5. Step 5: Solve for x
    x = 5,429,626.80/3,859.56
  6. Step 6: Final answer
    x = 1,406.80

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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.