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Finding the Fourth Proportional to 2,936.68, 4,406.22 and 2,477.32

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Solution

The fourth proportional to 2,936.68, 4,406.22 and 2,477.32 is: 3,716.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936.68 : 4,406.22 = 2,477.32 : x
  2. Step 2: Convert to fraction form
    2,936.68/4,406.22 = 2,477.32/x
  3. Step 3: Cross multiply
    2,936.68x = 4,406.22 × 2,477.32
  4. Step 4: Simplify right side
    2,936.68x = 10,915,616.93
  5. Step 5: Solve for x
    x = 10,915,616.93/2,936.68
  6. Step 6: Final answer
    x = 3,716.99

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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.