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Finding the Fourth Proportional to 5,238.72, 7,229.42 and 3,000.56

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Solution

The fourth proportional to 5,238.72, 7,229.42 and 3,000.56 is: 4,140.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.72 : 7,229.42 = 3,000.56 : x
  2. Step 2: Convert to fraction form
    5,238.72/7,229.42 = 3,000.56/x
  3. Step 3: Cross multiply
    5,238.72x = 7,229.42 × 3,000.56
  4. Step 4: Simplify right side
    5,238.72x = 21,692,308.48
  5. Step 5: Solve for x
    x = 21,692,308.48/5,238.72
  6. Step 6: Final answer
    x = 4,140.77

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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.