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Finding the Fourth Proportional to 4,157.70, 5,737.75 and 2,269.41

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Solution

The fourth proportional to 4,157.70, 5,737.75 and 2,269.41 is: 3,131.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.70 : 5,737.75 = 2,269.41 : x
  2. Step 2: Convert to fraction form
    4,157.70/5,737.75 = 2,269.41/x
  3. Step 3: Cross multiply
    4,157.70x = 5,737.75 × 2,269.41
  4. Step 4: Simplify right side
    4,157.70x = 13,021,272.87
  5. Step 5: Solve for x
    x = 13,021,272.87/4,157.70
  6. Step 6: Final answer
    x = 3,131.84

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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.