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Finding the Fourth Proportional to 3,674.96, 5,507.48 and 1,722.80

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Solution

The fourth proportional to 3,674.96, 5,507.48 and 1,722.80 is: 2,581.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.96 : 5,507.48 = 1,722.80 : x
  2. Step 2: Convert to fraction form
    3,674.96/5,507.48 = 1,722.80/x
  3. Step 3: Cross multiply
    3,674.96x = 5,507.48 × 1,722.80
  4. Step 4: Simplify right side
    3,674.96x = 9,488,286.54
  5. Step 5: Solve for x
    x = 9,488,286.54/3,674.96
  6. Step 6: Final answer
    x = 2,581.87

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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.