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Finding the Fourth Proportional to 4,824.73, 7,237.09 and 1,361.98

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Solution

The fourth proportional to 4,824.73, 7,237.09 and 1,361.98 is: 2,042.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,824.73 : 7,237.09 = 1,361.98 : x
  2. Step 2: Convert to fraction form
    4,824.73/7,237.09 = 1,361.98/x
  3. Step 3: Cross multiply
    4,824.73x = 7,237.09 × 1,361.98
  4. Step 4: Simplify right side
    4,824.73x = 9,856,750.34
  5. Step 5: Solve for x
    x = 9,856,750.34/4,824.73
  6. Step 6: Final answer
    x = 2,042.97

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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.