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Finding the Fourth Proportional to 5,234.98, 7,224.25 and 2,877.27

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Solution

The fourth proportional to 5,234.98, 7,224.25 and 2,877.27 is: 3,970.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.98 : 7,224.25 = 2,877.27 : x
  2. Step 2: Convert to fraction form
    5,234.98/7,224.25 = 2,877.27/x
  3. Step 3: Cross multiply
    5,234.98x = 7,224.25 × 2,877.27
  4. Step 4: Simplify right side
    5,234.98x = 20,786,117.80
  5. Step 5: Solve for x
    x = 20,786,117.80/5,234.98
  6. Step 6: Final answer
    x = 3,970.62

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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.