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Finding the Fourth Proportional to 5,396.29, 7,446.33 and 3,980.75

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Solution

The fourth proportional to 5,396.29, 7,446.33 and 3,980.75 is: 5,493.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396.29 : 7,446.33 = 3,980.75 : x
  2. Step 2: Convert to fraction form
    5,396.29/7,446.33 = 3,980.75/x
  3. Step 3: Cross multiply
    5,396.29x = 7,446.33 × 3,980.75
  4. Step 4: Simplify right side
    5,396.29x = 29,641,940.92
  5. Step 5: Solve for x
    x = 29,641,940.92/5,396.29
  6. Step 6: Final answer
    x = 5,493.02

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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.