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Finding the Fourth Proportional to 3,817.68, 5,727.38 and 1,477.71

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Solution

The fourth proportional to 3,817.68, 5,727.38 and 1,477.71 is: 2,216.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.68 : 5,727.38 = 1,477.71 : x
  2. Step 2: Convert to fraction form
    3,817.68/5,727.38 = 1,477.71/x
  3. Step 3: Cross multiply
    3,817.68x = 5,727.38 × 1,477.71
  4. Step 4: Simplify right side
    3,817.68x = 8,463,399.31
  5. Step 5: Solve for x
    x = 8,463,399.31/3,817.68
  6. Step 6: Final answer
    x = 2,216.90

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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.