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Finding the Fourth Proportional to 3,283.20, 4,927.20 and 2,559

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Solution

The fourth proportional to 3,283.20, 4,927.20 and 2,559 is: 3,840.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.20 : 4,927.20 = 2,559 : x
  2. Step 2: Convert to fraction form
    3,283.20/4,927.20 = 2,559/x
  3. Step 3: Cross multiply
    3,283.20x = 4,927.20 × 2,559
  4. Step 4: Simplify right side
    3,283.20x = 12,608,704.80
  5. Step 5: Solve for x
    x = 12,608,704.80/3,283.20
  6. Step 6: Final answer
    x = 3,840.37

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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.