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Finding the Fourth Proportional to 3,871.34, 5,342.54 and 2,299.44

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Solution

The fourth proportional to 3,871.34, 5,342.54 and 2,299.44 is: 3,173.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.34 : 5,342.54 = 2,299.44 : x
  2. Step 2: Convert to fraction form
    3,871.34/5,342.54 = 2,299.44/x
  3. Step 3: Cross multiply
    3,871.34x = 5,342.54 × 2,299.44
  4. Step 4: Simplify right side
    3,871.34x = 12,284,850.18
  5. Step 5: Solve for x
    x = 12,284,850.18/3,871.34
  6. Step 6: Final answer
    x = 3,173.28

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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.