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Finding the Fourth Proportional to 4,997.50, 7,495.31 and 1,665.79

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Solution

The fourth proportional to 4,997.50, 7,495.31 and 1,665.79 is: 2,498.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997.50 : 7,495.31 = 1,665.79 : x
  2. Step 2: Convert to fraction form
    4,997.50/7,495.31 = 1,665.79/x
  3. Step 3: Cross multiply
    4,997.50x = 7,495.31 × 1,665.79
  4. Step 4: Simplify right side
    4,997.50x = 12,485,614.27
  5. Step 5: Solve for x
    x = 12,485,614.27/4,997.50
  6. Step 6: Final answer
    x = 2,498.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.