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Finding the Fourth Proportional to 3,753.70, 5,622.45 and 3,267.70

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Solution

The fourth proportional to 3,753.70, 5,622.45 and 3,267.70 is: 4,894.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.70 : 5,622.45 = 3,267.70 : x
  2. Step 2: Convert to fraction form
    3,753.70/5,622.45 = 3,267.70/x
  3. Step 3: Cross multiply
    3,753.70x = 5,622.45 × 3,267.70
  4. Step 4: Simplify right side
    3,753.70x = 18,372,479.87
  5. Step 5: Solve for x
    x = 18,372,479.87/3,753.70
  6. Step 6: Final answer
    x = 4,894.50

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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.