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Finding the Fourth Proportional to 5,238.25, 7,862.53 and 3,847.68

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Solution

The fourth proportional to 5,238.25, 7,862.53 and 3,847.68 is: 5,775.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.25 : 7,862.53 = 3,847.68 : x
  2. Step 2: Convert to fraction form
    5,238.25/7,862.53 = 3,847.68/x
  3. Step 3: Cross multiply
    5,238.25x = 7,862.53 × 3,847.68
  4. Step 4: Simplify right side
    5,238.25x = 30,252,493.10
  5. Step 5: Solve for x
    x = 30,252,493.10/5,238.25
  6. Step 6: Final answer
    x = 5,775.31

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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.