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Finding the Fourth Proportional to 3,822.90, 5,276.19 and 2,144.98

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Solution

The fourth proportional to 3,822.90, 5,276.19 and 2,144.98 is: 2,960.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.90 : 5,276.19 = 2,144.98 : x
  2. Step 2: Convert to fraction form
    3,822.90/5,276.19 = 2,144.98/x
  3. Step 3: Cross multiply
    3,822.90x = 5,276.19 × 2,144.98
  4. Step 4: Simplify right side
    3,822.90x = 11,317,324.60
  5. Step 5: Solve for x
    x = 11,317,324.60/3,822.90
  6. Step 6: Final answer
    x = 2,960.41

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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.