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Finding the Fourth Proportional to 3,737.44, 5,157.67 and 2,166.44

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Solution

The fourth proportional to 3,737.44, 5,157.67 and 2,166.44 is: 2,989.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.44 : 5,157.67 = 2,166.44 : x
  2. Step 2: Convert to fraction form
    3,737.44/5,157.67 = 2,166.44/x
  3. Step 3: Cross multiply
    3,737.44x = 5,157.67 × 2,166.44
  4. Step 4: Simplify right side
    3,737.44x = 11,173,790.07
  5. Step 5: Solve for x
    x = 11,173,790.07/3,737.44
  6. Step 6: Final answer
    x = 2,989.69

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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.