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Finding the Fourth Proportional to 5,782.85, 8,669.06 and 2,082.47

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Solution

The fourth proportional to 5,782.85, 8,669.06 and 2,082.47 is: 3,121.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.85 : 8,669.06 = 2,082.47 : x
  2. Step 2: Convert to fraction form
    5,782.85/8,669.06 = 2,082.47/x
  3. Step 3: Cross multiply
    5,782.85x = 8,669.06 × 2,082.47
  4. Step 4: Simplify right side
    5,782.85x = 18,053,057.38
  5. Step 5: Solve for x
    x = 18,053,057.38/5,782.85
  6. Step 6: Final answer
    x = 3,121.83

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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.