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Finding the Fourth Proportional to 3,871.12, 5,340.84 and 3,172.24

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Solution

The fourth proportional to 3,871.12, 5,340.84 and 3,172.24 is: 4,376.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.12 : 5,340.84 = 3,172.24 : x
  2. Step 2: Convert to fraction form
    3,871.12/5,340.84 = 3,172.24/x
  3. Step 3: Cross multiply
    3,871.12x = 5,340.84 × 3,172.24
  4. Step 4: Simplify right side
    3,871.12x = 16,942,426.28
  5. Step 5: Solve for x
    x = 16,942,426.28/3,871.12
  6. Step 6: Final answer
    x = 4,376.62

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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.