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Finding the Fourth Proportional to 3,757.50, 5,639.58 and 2,003.67

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Solution

The fourth proportional to 3,757.50, 5,639.58 and 2,003.67 is: 3,007.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.50 : 5,639.58 = 2,003.67 : x
  2. Step 2: Convert to fraction form
    3,757.50/5,639.58 = 2,003.67/x
  3. Step 3: Cross multiply
    3,757.50x = 5,639.58 × 2,003.67
  4. Step 4: Simplify right side
    3,757.50x = 11,299,857.26
  5. Step 5: Solve for x
    x = 11,299,857.26/3,757.50
  6. Step 6: Final answer
    x = 3,007.28

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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.