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Finding the Fourth Proportional to 3,194.37, 4,760.37 and 3,089.88

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Solution

The fourth proportional to 3,194.37, 4,760.37 and 3,089.88 is: 4,604.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.37 : 4,760.37 = 3,089.88 : x
  2. Step 2: Convert to fraction form
    3,194.37/4,760.37 = 3,089.88/x
  3. Step 3: Cross multiply
    3,194.37x = 4,760.37 × 3,089.88
  4. Step 4: Simplify right side
    3,194.37x = 14,708,972.06
  5. Step 5: Solve for x
    x = 14,708,972.06/3,194.37
  6. Step 6: Final answer
    x = 4,604.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.