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Finding the Fourth Proportional to 3,795.85, 5,686.75 and 3,183.49

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Solution

The fourth proportional to 3,795.85, 5,686.75 and 3,183.49 is: 4,769.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.85 : 5,686.75 = 3,183.49 : x
  2. Step 2: Convert to fraction form
    3,795.85/5,686.75 = 3,183.49/x
  3. Step 3: Cross multiply
    3,795.85x = 5,686.75 × 3,183.49
  4. Step 4: Simplify right side
    3,795.85x = 18,103,711.76
  5. Step 5: Solve for x
    x = 18,103,711.76/3,795.85
  6. Step 6: Final answer
    x = 4,769.34

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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.