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Finding the Fourth Proportional to 5,785.26, 7,983.78 and 3,427.41

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Solution

The fourth proportional to 5,785.26, 7,983.78 and 3,427.41 is: 4,729.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.26 : 7,983.78 = 3,427.41 : x
  2. Step 2: Convert to fraction form
    5,785.26/7,983.78 = 3,427.41/x
  3. Step 3: Cross multiply
    5,785.26x = 7,983.78 × 3,427.41
  4. Step 4: Simplify right side
    5,785.26x = 27,363,687.41
  5. Step 5: Solve for x
    x = 27,363,687.41/5,785.26
  6. Step 6: Final answer
    x = 4,729.90

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