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Finding the Fourth Proportional to 3,767.91, 5,199.23 and 2,089.30

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Solution

The fourth proportional to 3,767.91, 5,199.23 and 2,089.30 is: 2,882.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.91 : 5,199.23 = 2,089.30 : x
  2. Step 2: Convert to fraction form
    3,767.91/5,199.23 = 2,089.30/x
  3. Step 3: Cross multiply
    3,767.91x = 5,199.23 × 2,089.30
  4. Step 4: Simplify right side
    3,767.91x = 10,862,751.24
  5. Step 5: Solve for x
    x = 10,862,751.24/3,767.91
  6. Step 6: Final answer
    x = 2,882.96

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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.