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Finding the Fourth Proportional to 3,737.70, 5,599.26 and 2,273.22

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Solution

The fourth proportional to 3,737.70, 5,599.26 and 2,273.22 is: 3,405.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.70 : 5,599.26 = 2,273.22 : x
  2. Step 2: Convert to fraction form
    3,737.70/5,599.26 = 2,273.22/x
  3. Step 3: Cross multiply
    3,737.70x = 5,599.26 × 2,273.22
  4. Step 4: Simplify right side
    3,737.70x = 12,728,349.82
  5. Step 5: Solve for x
    x = 12,728,349.82/3,737.70
  6. Step 6: Final answer
    x = 3,405.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.