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Finding the Fourth Proportional to 4,997.92, 7,497 and 1,711

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Solution

The fourth proportional to 4,997.92, 7,497 and 1,711 is: 2,566.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997.92 : 7,497 = 1,711 : x
  2. Step 2: Convert to fraction form
    4,997.92/7,497 = 1,711/x
  3. Step 3: Cross multiply
    4,997.92x = 7,497 × 1,711
  4. Step 4: Simplify right side
    4,997.92x = 12,827,367
  5. Step 5: Solve for x
    x = 12,827,367/4,997.92
  6. Step 6: Final answer
    x = 2,566.54

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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.