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Finding the Fourth Proportional to 2,967.21, 4,100.22 and 2,871.09

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Solution

The fourth proportional to 2,967.21, 4,100.22 and 2,871.09 is: 3,967.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.21 : 4,100.22 = 2,871.09 : x
  2. Step 2: Convert to fraction form
    2,967.21/4,100.22 = 2,871.09/x
  3. Step 3: Cross multiply
    2,967.21x = 4,100.22 × 2,871.09
  4. Step 4: Simplify right side
    2,967.21x = 11,772,100.64
  5. Step 5: Solve for x
    x = 11,772,100.64/2,967.21
  6. Step 6: Final answer
    x = 3,967.40

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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.