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Finding the Fourth Proportional to 5,826.57, 8,081.87 and 5,616.42

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Solution

The fourth proportional to 5,826.57, 8,081.87 and 5,616.42 is: 7,790.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826.57 : 8,081.87 = 5,616.42 : x
  2. Step 2: Convert to fraction form
    5,826.57/8,081.87 = 5,616.42/x
  3. Step 3: Cross multiply
    5,826.57x = 8,081.87 × 5,616.42
  4. Step 4: Simplify right side
    5,826.57x = 45,391,163.38
  5. Step 5: Solve for x
    x = 45,391,163.38/5,826.57
  6. Step 6: Final answer
    x = 7,790.37

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.