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Finding the Fourth Proportional to 5,836.89, 8,055.23 and 3,744.57

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Solution

The fourth proportional to 5,836.89, 8,055.23 and 3,744.57 is: 5,167.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.89 : 8,055.23 = 3,744.57 : x
  2. Step 2: Convert to fraction form
    5,836.89/8,055.23 = 3,744.57/x
  3. Step 3: Cross multiply
    5,836.89x = 8,055.23 × 3,744.57
  4. Step 4: Simplify right side
    5,836.89x = 30,163,372.60
  5. Step 5: Solve for x
    x = 30,163,372.60/5,836.89
  6. Step 6: Final answer
    x = 5,167.71

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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.