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Finding the Fourth Proportional to 4,321.80, 6,468.30 and 3,803.40

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Solution

The fourth proportional to 4,321.80, 6,468.30 and 3,803.40 is: 5,692.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,321.80 : 6,468.30 = 3,803.40 : x
  2. Step 2: Convert to fraction form
    4,321.80/6,468.30 = 3,803.40/x
  3. Step 3: Cross multiply
    4,321.80x = 6,468.30 × 3,803.40
  4. Step 4: Simplify right side
    4,321.80x = 24,601,532.22
  5. Step 5: Solve for x
    x = 24,601,532.22/4,321.80
  6. Step 6: Final answer
    x = 5,692.43

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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.