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Finding the Fourth Proportional to 5,238.72, 7,232.42 and 3,472.72

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Solution

The fourth proportional to 5,238.72, 7,232.42 and 3,472.72 is: 4,794.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.72 : 7,232.42 = 3,472.72 : x
  2. Step 2: Convert to fraction form
    5,238.72/7,232.42 = 3,472.72/x
  3. Step 3: Cross multiply
    5,238.72x = 7,232.42 × 3,472.72
  4. Step 4: Simplify right side
    5,238.72x = 25,116,160.18
  5. Step 5: Solve for x
    x = 25,116,160.18/5,238.72
  6. Step 6: Final answer
    x = 4,794.33

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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.