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Finding the Fourth Proportional to 4,157.97, 5,737.99 and 2,833.98

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Solution

The fourth proportional to 4,157.97, 5,737.99 and 2,833.98 is: 3,910.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.97 : 5,737.99 = 2,833.98 : x
  2. Step 2: Convert to fraction form
    4,157.97/5,737.99 = 2,833.98/x
  3. Step 3: Cross multiply
    4,157.97x = 5,737.99 × 2,833.98
  4. Step 4: Simplify right side
    4,157.97x = 16,261,363.20
  5. Step 5: Solve for x
    x = 16,261,363.20/4,157.97
  6. Step 6: Final answer
    x = 3,910.89

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