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Finding the Fourth Proportional to 4,157.83, 5,737.83 and 2,269.42

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Solution

The fourth proportional to 4,157.83, 5,737.83 and 2,269.42 is: 3,131.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.83 : 5,737.83 = 2,269.42 : x
  2. Step 2: Convert to fraction form
    4,157.83/5,737.83 = 2,269.42/x
  3. Step 3: Cross multiply
    4,157.83x = 5,737.83 × 2,269.42
  4. Step 4: Simplify right side
    4,157.83x = 13,021,546.16
  5. Step 5: Solve for x
    x = 13,021,546.16/4,157.83
  6. Step 6: Final answer
    x = 3,131.81

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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.