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Finding the Fourth Proportional to 6,871.40, 10,309.88 and 2,489.20

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Solution

The fourth proportional to 6,871.40, 10,309.88 and 2,489.20 is: 3,734.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.40 : 10,309.88 = 2,489.20 : x
  2. Step 2: Convert to fraction form
    6,871.40/10,309.88 = 2,489.20/x
  3. Step 3: Cross multiply
    6,871.40x = 10,309.88 × 2,489.20
  4. Step 4: Simplify right side
    6,871.40x = 25,663,353.30
  5. Step 5: Solve for x
    x = 25,663,353.30/6,871.40
  6. Step 6: Final answer
    x = 3,734.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.