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Finding the Fourth Proportional to 5,506.50, 8,262.49 and 2,733.06

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Solution

The fourth proportional to 5,506.50, 8,262.49 and 2,733.06 is: 4,100.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.50 : 8,262.49 = 2,733.06 : x
  2. Step 2: Convert to fraction form
    5,506.50/8,262.49 = 2,733.06/x
  3. Step 3: Cross multiply
    5,506.50x = 8,262.49 × 2,733.06
  4. Step 4: Simplify right side
    5,506.50x = 22,581,880.92
  5. Step 5: Solve for x
    x = 22,581,880.92/5,506.50
  6. Step 6: Final answer
    x = 4,100.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.