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Finding the Fourth Proportional to 5,234.46, 7,224.80 and 2,997.63

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Solution

The fourth proportional to 5,234.46, 7,224.80 and 2,997.63 is: 4,137.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.46 : 7,224.80 = 2,997.63 : x
  2. Step 2: Convert to fraction form
    5,234.46/7,224.80 = 2,997.63/x
  3. Step 3: Cross multiply
    5,234.46x = 7,224.80 × 2,997.63
  4. Step 4: Simplify right side
    5,234.46x = 21,657,262.24
  5. Step 5: Solve for x
    x = 21,657,262.24/5,234.46
  6. Step 6: Final answer
    x = 4,137.44

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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.