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Finding the Fourth Proportional to 3,141.92, 4,714.44 and 2,223.38

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Solution

The fourth proportional to 3,141.92, 4,714.44 and 2,223.38 is: 3,336.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.92 : 4,714.44 = 2,223.38 : x
  2. Step 2: Convert to fraction form
    3,141.92/4,714.44 = 2,223.38/x
  3. Step 3: Cross multiply
    3,141.92x = 4,714.44 × 2,223.38
  4. Step 4: Simplify right side
    3,141.92x = 10,481,991.61
  5. Step 5: Solve for x
    x = 10,481,991.61/3,141.92
  6. Step 6: Final answer
    x = 3,336.17

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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.