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Finding the Fourth Proportional to 3,735.70, 5,154.13 and 2,163.49

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Solution

The fourth proportional to 3,735.70, 5,154.13 and 2,163.49 is: 2,984.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.70 : 5,154.13 = 2,163.49 : x
  2. Step 2: Convert to fraction form
    3,735.70/5,154.13 = 2,163.49/x
  3. Step 3: Cross multiply
    3,735.70x = 5,154.13 × 2,163.49
  4. Step 4: Simplify right side
    3,735.70x = 11,150,908.71
  5. Step 5: Solve for x
    x = 11,150,908.71/3,735.70
  6. Step 6: Final answer
    x = 2,984.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.