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Finding the Fourth Proportional to 3,886.30, 5,361.05 and 2,469.21

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Solution

The fourth proportional to 3,886.30, 5,361.05 and 2,469.21 is: 3,406.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.30 : 5,361.05 = 2,469.21 : x
  2. Step 2: Convert to fraction form
    3,886.30/5,361.05 = 2,469.21/x
  3. Step 3: Cross multiply
    3,886.30x = 5,361.05 × 2,469.21
  4. Step 4: Simplify right side
    3,886.30x = 13,237,558.27
  5. Step 5: Solve for x
    x = 13,237,558.27/3,886.30
  6. Step 6: Final answer
    x = 3,406.21

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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.