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Finding the Fourth Proportional to 5,238.48, 7,858.68 and 3,523.92

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Solution

The fourth proportional to 5,238.48, 7,858.68 and 3,523.92 is: 5,286.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.48 : 7,858.68 = 3,523.92 : x
  2. Step 2: Convert to fraction form
    5,238.48/7,858.68 = 3,523.92/x
  3. Step 3: Cross multiply
    5,238.48x = 7,858.68 × 3,523.92
  4. Step 4: Simplify right side
    5,238.48x = 27,693,359.63
  5. Step 5: Solve for x
    x = 27,693,359.63/5,238.48
  6. Step 6: Final answer
    x = 5,286.53

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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.