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Finding the Fourth Proportional to 3,814.92, 5,719.50 and 2,082.60

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Solution

The fourth proportional to 3,814.92, 5,719.50 and 2,082.60 is: 3,122.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.92 : 5,719.50 = 2,082.60 : x
  2. Step 2: Convert to fraction form
    3,814.92/5,719.50 = 2,082.60/x
  3. Step 3: Cross multiply
    3,814.92x = 5,719.50 × 2,082.60
  4. Step 4: Simplify right side
    3,814.92x = 11,911,430.70
  5. Step 5: Solve for x
    x = 11,911,430.70/3,814.92
  6. Step 6: Final answer
    x = 3,122.33

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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.