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Finding the Fourth Proportional to 5,082.67, 7,012.70 and 3,489.80

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Solution

The fourth proportional to 5,082.67, 7,012.70 and 3,489.80 is: 4,814.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082.67 : 7,012.70 = 3,489.80 : x
  2. Step 2: Convert to fraction form
    5,082.67/7,012.70 = 3,489.80/x
  3. Step 3: Cross multiply
    5,082.67x = 7,012.70 × 3,489.80
  4. Step 4: Simplify right side
    5,082.67x = 24,472,920.46
  5. Step 5: Solve for x
    x = 24,472,920.46/5,082.67
  6. Step 6: Final answer
    x = 4,814.97

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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.