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Finding the Fourth Proportional to 5,238.44, 7,857.40 and 2,032.48

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Solution

The fourth proportional to 5,238.44, 7,857.40 and 2,032.48 is: 3,048.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.44 : 7,857.40 = 2,032.48 : x
  2. Step 2: Convert to fraction form
    5,238.44/7,857.40 = 2,032.48/x
  3. Step 3: Cross multiply
    5,238.44x = 7,857.40 × 2,032.48
  4. Step 4: Simplify right side
    5,238.44x = 15,970,008.35
  5. Step 5: Solve for x
    x = 15,970,008.35/5,238.44
  6. Step 6: Final answer
    x = 3,048.62

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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.