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Finding the Fourth Proportional to 5,826.60, 8,040.33 and 3,837.92

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Solution

The fourth proportional to 5,826.60, 8,040.33 and 3,837.92 is: 5,296.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826.60 : 8,040.33 = 3,837.92 : x
  2. Step 2: Convert to fraction form
    5,826.60/8,040.33 = 3,837.92/x
  3. Step 3: Cross multiply
    5,826.60x = 8,040.33 × 3,837.92
  4. Step 4: Simplify right side
    5,826.60x = 30,858,103.11
  5. Step 5: Solve for x
    x = 30,858,103.11/5,826.60
  6. Step 6: Final answer
    x = 5,296.07

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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.