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Finding the Fourth Proportional to 3,793.14, 5,689.51 and 1,195.88

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Solution

The fourth proportional to 3,793.14, 5,689.51 and 1,195.88 is: 1,793.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.14 : 5,689.51 = 1,195.88 : x
  2. Step 2: Convert to fraction form
    3,793.14/5,689.51 = 1,195.88/x
  3. Step 3: Cross multiply
    3,793.14x = 5,689.51 × 1,195.88
  4. Step 4: Simplify right side
    3,793.14x = 6,803,939.78
  5. Step 5: Solve for x
    x = 6,803,939.78/3,793.14
  6. Step 6: Final answer
    x = 1,793.75

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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.