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Finding the Fourth Proportional to 3,737.47, 5,157.64 and 2,059.03

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Solution

The fourth proportional to 3,737.47, 5,157.64 and 2,059.03 is: 2,841.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.47 : 5,157.64 = 2,059.03 : x
  2. Step 2: Convert to fraction form
    3,737.47/5,157.64 = 2,059.03/x
  3. Step 3: Cross multiply
    3,737.47x = 5,157.64 × 2,059.03
  4. Step 4: Simplify right side
    3,737.47x = 10,619,735.49
  5. Step 5: Solve for x
    x = 10,619,735.49/3,737.47
  6. Step 6: Final answer
    x = 2,841.42

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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.