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Finding the Fourth Proportional to 3,727.90, 5,138.64 and 3,020.80

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Solution

The fourth proportional to 3,727.90, 5,138.64 and 3,020.80 is: 4,163.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727.90 : 5,138.64 = 3,020.80 : x
  2. Step 2: Convert to fraction form
    3,727.90/5,138.64 = 3,020.80/x
  3. Step 3: Cross multiply
    3,727.90x = 5,138.64 × 3,020.80
  4. Step 4: Simplify right side
    3,727.90x = 15,522,803.71
  5. Step 5: Solve for x
    x = 15,522,803.71/3,727.90
  6. Step 6: Final answer
    x = 4,163.95

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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.