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Finding the Fourth Proportional to 5,765.09, 8,636.70 and 5,757.80

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Solution

The fourth proportional to 5,765.09, 8,636.70 and 5,757.80 is: 8,625.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.09 : 8,636.70 = 5,757.80 : x
  2. Step 2: Convert to fraction form
    5,765.09/8,636.70 = 5,757.80/x
  3. Step 3: Cross multiply
    5,765.09x = 8,636.70 × 5,757.80
  4. Step 4: Simplify right side
    5,765.09x = 49,728,391.26
  5. Step 5: Solve for x
    x = 49,728,391.26/5,765.09
  6. Step 6: Final answer
    x = 8,625.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.