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Finding the Fourth Proportional to 3,211.28, 4,803.72 and 2,563.28

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Solution

The fourth proportional to 3,211.28, 4,803.72 and 2,563.28 is: 3,834.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.28 : 4,803.72 = 2,563.28 : x
  2. Step 2: Convert to fraction form
    3,211.28/4,803.72 = 2,563.28/x
  3. Step 3: Cross multiply
    3,211.28x = 4,803.72 × 2,563.28
  4. Step 4: Simplify right side
    3,211.28x = 12,313,279.40
  5. Step 5: Solve for x
    x = 12,313,279.40/3,211.28
  6. Step 6: Final answer
    x = 3,834.38

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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.