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Finding the Fourth Proportional to 4,165.99, 5,747.42 and 2,673.68

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Solution

The fourth proportional to 4,165.99, 5,747.42 and 2,673.68 is: 3,688.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.99 : 5,747.42 = 2,673.68 : x
  2. Step 2: Convert to fraction form
    4,165.99/5,747.42 = 2,673.68/x
  3. Step 3: Cross multiply
    4,165.99x = 5,747.42 × 2,673.68
  4. Step 4: Simplify right side
    4,165.99x = 15,366,739.85
  5. Step 5: Solve for x
    x = 15,366,739.85/4,165.99
  6. Step 6: Final answer
    x = 3,688.62

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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.