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Finding the Fourth Proportional to 5,243.48, 7,238.27 and 3,748.80

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Solution

The fourth proportional to 5,243.48, 7,238.27 and 3,748.80 is: 5,174.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.48 : 7,238.27 = 3,748.80 : x
  2. Step 2: Convert to fraction form
    5,243.48/7,238.27 = 3,748.80/x
  3. Step 3: Cross multiply
    5,243.48x = 7,238.27 × 3,748.80
  4. Step 4: Simplify right side
    5,243.48x = 27,134,826.58
  5. Step 5: Solve for x
    x = 27,134,826.58/5,243.48
  6. Step 6: Final answer
    x = 5,174.97

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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.