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Finding the Fourth Proportional to 3,767.52, 5,199.04 and 2,089

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Solution

The fourth proportional to 3,767.52, 5,199.04 and 2,089 is: 2,882.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.52 : 5,199.04 = 2,089 : x
  2. Step 2: Convert to fraction form
    3,767.52/5,199.04 = 2,089/x
  3. Step 3: Cross multiply
    3,767.52x = 5,199.04 × 2,089
  4. Step 4: Simplify right side
    3,767.52x = 10,860,794.56
  5. Step 5: Solve for x
    x = 10,860,794.56/3,767.52
  6. Step 6: Final answer
    x = 2,882.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.