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Finding the Fourth Proportional to 5,754.96, 7,940.68 and 3,397.36

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Solution

The fourth proportional to 5,754.96, 7,940.68 and 3,397.36 is: 4,687.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.96 : 7,940.68 = 3,397.36 : x
  2. Step 2: Convert to fraction form
    5,754.96/7,940.68 = 3,397.36/x
  3. Step 3: Cross multiply
    5,754.96x = 7,940.68 × 3,397.36
  4. Step 4: Simplify right side
    5,754.96x = 26,977,348.60
  5. Step 5: Solve for x
    x = 26,977,348.60/5,754.96
  6. Step 6: Final answer
    x = 4,687.67

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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.