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Finding the Fourth Proportional to 4,157.25, 5,737.41 and 2,294.25

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Solution

The fourth proportional to 4,157.25, 5,737.41 and 2,294.25 is: 3,166.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.25 : 5,737.41 = 2,294.25 : x
  2. Step 2: Convert to fraction form
    4,157.25/5,737.41 = 2,294.25/x
  3. Step 3: Cross multiply
    4,157.25x = 5,737.41 × 2,294.25
  4. Step 4: Simplify right side
    4,157.25x = 13,163,052.89
  5. Step 5: Solve for x
    x = 13,163,052.89/4,157.25
  6. Step 6: Final answer
    x = 3,166.29

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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.