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Finding the Fourth Proportional to 3,765.35, 5,647.97 and 1,168.29

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Solution

The fourth proportional to 3,765.35, 5,647.97 and 1,168.29 is: 1,752.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.35 : 5,647.97 = 1,168.29 : x
  2. Step 2: Convert to fraction form
    3,765.35/5,647.97 = 1,168.29/x
  3. Step 3: Cross multiply
    3,765.35x = 5,647.97 × 1,168.29
  4. Step 4: Simplify right side
    3,765.35x = 6,598,466.87
  5. Step 5: Solve for x
    x = 6,598,466.87/3,765.35
  6. Step 6: Final answer
    x = 1,752.42

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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.