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Finding the Fourth Proportional to 4,506.50, 6,755.18 and 2,163.06

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Solution

The fourth proportional to 4,506.50, 6,755.18 and 2,163.06 is: 3,242.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506.50 : 6,755.18 = 2,163.06 : x
  2. Step 2: Convert to fraction form
    4,506.50/6,755.18 = 2,163.06/x
  3. Step 3: Cross multiply
    4,506.50x = 6,755.18 × 2,163.06
  4. Step 4: Simplify right side
    4,506.50x = 14,611,859.65
  5. Step 5: Solve for x
    x = 14,611,859.65/4,506.50
  6. Step 6: Final answer
    x = 3,242.40

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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.