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Finding the Fourth Proportional to 4,503.82, 6,757.22 and 2,004.65

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Solution

The fourth proportional to 4,503.82, 6,757.22 and 2,004.65 is: 3,007.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,503.82 : 6,757.22 = 2,004.65 : x
  2. Step 2: Convert to fraction form
    4,503.82/6,757.22 = 2,004.65/x
  3. Step 3: Cross multiply
    4,503.82x = 6,757.22 × 2,004.65
  4. Step 4: Simplify right side
    4,503.82x = 13,545,861.07
  5. Step 5: Solve for x
    x = 13,545,861.07/4,503.82
  6. Step 6: Final answer
    x = 3,007.64

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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.