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Finding the Fourth Proportional to 3,651.24, 5,037.48 and 2,078.22

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Solution

The fourth proportional to 3,651.24, 5,037.48 and 2,078.22 is: 2,867.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.24 : 5,037.48 = 2,078.22 : x
  2. Step 2: Convert to fraction form
    3,651.24/5,037.48 = 2,078.22/x
  3. Step 3: Cross multiply
    3,651.24x = 5,037.48 × 2,078.22
  4. Step 4: Simplify right side
    3,651.24x = 10,468,991.69
  5. Step 5: Solve for x
    x = 10,468,991.69/3,651.24
  6. Step 6: Final answer
    x = 2,867.24

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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.