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Finding the Fourth Proportional to 3,211.70, 4,809.45 and 2,563.70

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Solution

The fourth proportional to 3,211.70, 4,809.45 and 2,563.70 is: 3,839.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.70 : 4,809.45 = 2,563.70 : x
  2. Step 2: Convert to fraction form
    3,211.70/4,809.45 = 2,563.70/x
  3. Step 3: Cross multiply
    3,211.70x = 4,809.45 × 2,563.70
  4. Step 4: Simplify right side
    3,211.70x = 12,329,986.97
  5. Step 5: Solve for x
    x = 12,329,986.97/3,211.70
  6. Step 6: Final answer
    x = 3,839.08

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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.