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Finding the Fourth Proportional to 5,234.73, 7,224.03 and 2,877

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Solution

The fourth proportional to 5,234.73, 7,224.03 and 2,877 is: 3,970.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.73 : 7,224.03 = 2,877 : x
  2. Step 2: Convert to fraction form
    5,234.73/7,224.03 = 2,877/x
  3. Step 3: Cross multiply
    5,234.73x = 7,224.03 × 2,877
  4. Step 4: Simplify right side
    5,234.73x = 20,783,534.31
  5. Step 5: Solve for x
    x = 20,783,534.31/5,234.73
  6. Step 6: Final answer
    x = 3,970.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.