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Finding the Fourth Proportional to 3,481.32, 4,804.44 and 2,287

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Solution

The fourth proportional to 3,481.32, 4,804.44 and 2,287 is: 3,156.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.32 : 4,804.44 = 2,287 : x
  2. Step 2: Convert to fraction form
    3,481.32/4,804.44 = 2,287/x
  3. Step 3: Cross multiply
    3,481.32x = 4,804.44 × 2,287
  4. Step 4: Simplify right side
    3,481.32x = 10,987,754.28
  5. Step 5: Solve for x
    x = 10,987,754.28/3,481.32
  6. Step 6: Final answer
    x = 3,156.20

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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.