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Finding the Fourth Proportional to 3,723.69, 5,589.64 and 3,145.84

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Solution

The fourth proportional to 3,723.69, 5,589.64 and 3,145.84 is: 4,722.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723.69 : 5,589.64 = 3,145.84 : x
  2. Step 2: Convert to fraction form
    3,723.69/5,589.64 = 3,145.84/x
  3. Step 3: Cross multiply
    3,723.69x = 5,589.64 × 3,145.84
  4. Step 4: Simplify right side
    3,723.69x = 17,584,103.06
  5. Step 5: Solve for x
    x = 17,584,103.06/3,723.69
  6. Step 6: Final answer
    x = 4,722.23

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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.