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Finding the Fourth Proportional to 5,646.43, 7,793.16 and 3,257.94

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Solution

The fourth proportional to 5,646.43, 7,793.16 and 3,257.94 is: 4,496.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.43 : 7,793.16 = 3,257.94 : x
  2. Step 2: Convert to fraction form
    5,646.43/7,793.16 = 3,257.94/x
  3. Step 3: Cross multiply
    5,646.43x = 7,793.16 × 3,257.94
  4. Step 4: Simplify right side
    5,646.43x = 25,389,647.69
  5. Step 5: Solve for x
    x = 25,389,647.69/5,646.43
  6. Step 6: Final answer
    x = 4,496.59

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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.