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Finding the Fourth Proportional to 3,767.04, 5,648.64 and 2,207.54

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Solution

The fourth proportional to 3,767.04, 5,648.64 and 2,207.54 is: 3,310.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.04 : 5,648.64 = 2,207.54 : x
  2. Step 2: Convert to fraction form
    3,767.04/5,648.64 = 2,207.54/x
  3. Step 3: Cross multiply
    3,767.04x = 5,648.64 × 2,207.54
  4. Step 4: Simplify right side
    3,767.04x = 12,469,570.50
  5. Step 5: Solve for x
    x = 12,469,570.50/3,767.04
  6. Step 6: Final answer
    x = 3,310.18

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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.