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Finding the Fourth Proportional to 5,871.20, 8,822.40 and 3,240.80

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Solution

The fourth proportional to 5,871.20, 8,822.40 and 3,240.80 is: 4,869.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.20 : 8,822.40 = 3,240.80 : x
  2. Step 2: Convert to fraction form
    5,871.20/8,822.40 = 3,240.80/x
  3. Step 3: Cross multiply
    5,871.20x = 8,822.40 × 3,240.80
  4. Step 4: Simplify right side
    5,871.20x = 28,591,633.92
  5. Step 5: Solve for x
    x = 28,591,633.92/5,871.20
  6. Step 6: Final answer
    x = 4,869.81

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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.