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Finding the Fourth Proportional to 3,757.70, 5,628.45 and 3,271.70

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Solution

The fourth proportional to 3,757.70, 5,628.45 and 3,271.70 is: 4,900.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.70 : 5,628.45 = 3,271.70 : x
  2. Step 2: Convert to fraction form
    3,757.70/5,628.45 = 3,271.70/x
  3. Step 3: Cross multiply
    3,757.70x = 5,628.45 × 3,271.70
  4. Step 4: Simplify right side
    3,757.70x = 18,414,599.87
  5. Step 5: Solve for x
    x = 18,414,599.87/3,757.70
  6. Step 6: Final answer
    x = 4,900.50

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1.5x scale

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.