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Finding the Fourth Proportional to 3,723.70, 5,589.18 and 1,777.24

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Solution

The fourth proportional to 3,723.70, 5,589.18 and 1,777.24 is: 2,667.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723.70 : 5,589.18 = 1,777.24 : x
  2. Step 2: Convert to fraction form
    3,723.70/5,589.18 = 1,777.24/x
  3. Step 3: Cross multiply
    3,723.70x = 5,589.18 × 1,777.24
  4. Step 4: Simplify right side
    3,723.70x = 9,933,314.26
  5. Step 5: Solve for x
    x = 9,933,314.26/3,723.70
  6. Step 6: Final answer
    x = 2,667.59

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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.