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Finding the Fourth Proportional to 3,697.37, 5,550.12 and 3,683.66

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Solution

The fourth proportional to 3,697.37, 5,550.12 and 3,683.66 is: 5,529.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.37 : 5,550.12 = 3,683.66 : x
  2. Step 2: Convert to fraction form
    3,697.37/5,550.12 = 3,683.66/x
  3. Step 3: Cross multiply
    3,697.37x = 5,550.12 × 3,683.66
  4. Step 4: Simplify right side
    3,697.37x = 20,444,727.29
  5. Step 5: Solve for x
    x = 20,444,727.29/3,697.37
  6. Step 6: Final answer
    x = 5,529.54

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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.