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Finding the Fourth Proportional to 3,769.07, 5,651.48 and 1,691.07

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Solution

The fourth proportional to 3,769.07, 5,651.48 and 1,691.07 is: 2,535.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.07 : 5,651.48 = 1,691.07 : x
  2. Step 2: Convert to fraction form
    3,769.07/5,651.48 = 1,691.07/x
  3. Step 3: Cross multiply
    3,769.07x = 5,651.48 × 1,691.07
  4. Step 4: Simplify right side
    3,769.07x = 9,557,031.32
  5. Step 5: Solve for x
    x = 9,557,031.32/3,769.07
  6. Step 6: Final answer
    x = 2,535.65

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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.