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Finding the Fourth Proportional to 3,737.66, 5,157.91 and 2,059.22

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Solution

The fourth proportional to 3,737.66, 5,157.91 and 2,059.22 is: 2,841.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.66 : 5,157.91 = 2,059.22 : x
  2. Step 2: Convert to fraction form
    3,737.66/5,157.91 = 2,059.22/x
  3. Step 3: Cross multiply
    3,737.66x = 5,157.91 × 2,059.22
  4. Step 4: Simplify right side
    3,737.66x = 10,621,286.90
  5. Step 5: Solve for x
    x = 10,621,286.90/3,737.66
  6. Step 6: Final answer
    x = 2,841.69

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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.