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Finding the Fourth Proportional to 3,739.70, 5,160.76 and 2,168.70

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Solution

The fourth proportional to 3,739.70, 5,160.76 and 2,168.70 is: 2,992.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,739.70 : 5,160.76 = 2,168.70 : x
  2. Step 2: Convert to fraction form
    3,739.70/5,160.76 = 2,168.70/x
  3. Step 3: Cross multiply
    3,739.70x = 5,160.76 × 2,168.70
  4. Step 4: Simplify right side
    3,739.70x = 11,192,140.21
  5. Step 5: Solve for x
    x = 11,192,140.21/3,739.70
  6. Step 6: Final answer
    x = 2,992.79

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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.