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Finding the Fourth Proportional to 4,157.96, 5,737.91 and 2,269.50

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Solution

The fourth proportional to 4,157.96, 5,737.91 and 2,269.50 is: 3,131.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.96 : 5,737.91 = 2,269.50 : x
  2. Step 2: Convert to fraction form
    4,157.96/5,737.91 = 2,269.50/x
  3. Step 3: Cross multiply
    4,157.96x = 5,737.91 × 2,269.50
  4. Step 4: Simplify right side
    4,157.96x = 13,022,175.05
  5. Step 5: Solve for x
    x = 13,022,175.05/4,157.96
  6. Step 6: Final answer
    x = 3,131.86

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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.