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Finding the Fourth Proportional to 4,855.20, 7,282.80 and 2,263.20

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Solution

The fourth proportional to 4,855.20, 7,282.80 and 2,263.20 is: 3,394.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,855.20 : 7,282.80 = 2,263.20 : x
  2. Step 2: Convert to fraction form
    4,855.20/7,282.80 = 2,263.20/x
  3. Step 3: Cross multiply
    4,855.20x = 7,282.80 × 2,263.20
  4. Step 4: Simplify right side
    4,855.20x = 16,482,432.96
  5. Step 5: Solve for x
    x = 16,482,432.96/4,855.20
  6. Step 6: Final answer
    x = 3,394.80

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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.