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Finding the Fourth Proportional to 5,289.82, 7,293.21 and 3,397.97

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Solution

The fourth proportional to 5,289.82, 7,293.21 and 3,397.97 is: 4,684.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.82 : 7,293.21 = 3,397.97 : x
  2. Step 2: Convert to fraction form
    5,289.82/7,293.21 = 3,397.97/x
  3. Step 3: Cross multiply
    5,289.82x = 7,293.21 × 3,397.97
  4. Step 4: Simplify right side
    5,289.82x = 24,782,108.78
  5. Step 5: Solve for x
    x = 24,782,108.78/5,289.82
  6. Step 6: Final answer
    x = 4,684.87

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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.