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Finding the Fourth Proportional to 4,922.94, 7,381.62 and 1,997.82

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Solution

The fourth proportional to 4,922.94, 7,381.62 and 1,997.82 is: 2,995.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922.94 : 7,381.62 = 1,997.82 : x
  2. Step 2: Convert to fraction form
    4,922.94/7,381.62 = 1,997.82/x
  3. Step 3: Cross multiply
    4,922.94x = 7,381.62 × 1,997.82
  4. Step 4: Simplify right side
    4,922.94x = 14,747,148.07
  5. Step 5: Solve for x
    x = 14,747,148.07/4,922.94
  6. Step 6: Final answer
    x = 2,995.60

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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.