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Finding the Fourth Proportional to 5,989.73, 8,205.96 and 5,765.26

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Solution

The fourth proportional to 5,989.73, 8,205.96 and 5,765.26 is: 7,898.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,989.73 : 8,205.96 = 5,765.26 : x
  2. Step 2: Convert to fraction form
    5,989.73/8,205.96 = 5,765.26/x
  3. Step 3: Cross multiply
    5,989.73x = 8,205.96 × 5,765.26
  4. Step 4: Simplify right side
    5,989.73x = 47,309,492.95
  5. Step 5: Solve for x
    x = 47,309,492.95/5,989.73
  6. Step 6: Final answer
    x = 7,898.43

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.