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Finding the Fourth Proportional to 5,238.54, 7,229.12 and 3,000.78

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Solution

The fourth proportional to 5,238.54, 7,229.12 and 3,000.78 is: 4,141.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.54 : 7,229.12 = 3,000.78 : x
  2. Step 2: Convert to fraction form
    5,238.54/7,229.12 = 3,000.78/x
  3. Step 3: Cross multiply
    5,238.54x = 7,229.12 × 3,000.78
  4. Step 4: Simplify right side
    5,238.54x = 21,692,983.71
  5. Step 5: Solve for x
    x = 21,692,983.71/5,238.54
  6. Step 6: Final answer
    x = 4,141.04

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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.