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Finding the Fourth Proportional to 3,723.87, 5,585.80 and 950.54

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Solution

The fourth proportional to 3,723.87, 5,585.80 and 950.54 is: 1,425.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723.87 : 5,585.80 = 950.54 : x
  2. Step 2: Convert to fraction form
    3,723.87/5,585.80 = 950.54/x
  3. Step 3: Cross multiply
    3,723.87x = 5,585.80 × 950.54
  4. Step 4: Simplify right side
    3,723.87x = 5,309,540.30
  5. Step 5: Solve for x
    x = 5,309,540.30/3,723.87
  6. Step 6: Final answer
    x = 1,425.81

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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.