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Finding the Fourth Proportional to 3,992.44, 5,511.81 and 3,106.30

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Solution

The fourth proportional to 3,992.44, 5,511.81 and 3,106.30 is: 4,288.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.44 : 5,511.81 = 3,106.30 : x
  2. Step 2: Convert to fraction form
    3,992.44/5,511.81 = 3,106.30/x
  3. Step 3: Cross multiply
    3,992.44x = 5,511.81 × 3,106.30
  4. Step 4: Simplify right side
    3,992.44x = 17,121,335.40
  5. Step 5: Solve for x
    x = 17,121,335.40/3,992.44
  6. Step 6: Final answer
    x = 4,288.44

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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.