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Finding the Fourth Proportional to 5,148.37, 7,732.89 and 3,072.43

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Solution

The fourth proportional to 5,148.37, 7,732.89 and 3,072.43 is: 4,614.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148.37 : 7,732.89 = 3,072.43 : x
  2. Step 2: Convert to fraction form
    5,148.37/7,732.89 = 3,072.43/x
  3. Step 3: Cross multiply
    5,148.37x = 7,732.89 × 3,072.43
  4. Step 4: Simplify right side
    5,148.37x = 23,758,763.22
  5. Step 5: Solve for x
    x = 23,758,763.22/5,148.37
  6. Step 6: Final answer
    x = 4,614.81

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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.