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Finding the Fourth Proportional to 3,722.94, 5,137.27 and 2,230.82

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Solution

The fourth proportional to 3,722.94, 5,137.27 and 2,230.82 is: 3,078.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.94 : 5,137.27 = 2,230.82 : x
  2. Step 2: Convert to fraction form
    3,722.94/5,137.27 = 2,230.82/x
  3. Step 3: Cross multiply
    3,722.94x = 5,137.27 × 2,230.82
  4. Step 4: Simplify right side
    3,722.94x = 11,460,293.40
  5. Step 5: Solve for x
    x = 11,460,293.40/3,722.94
  6. Step 6: Final answer
    x = 3,078.29

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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.