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Finding the Fourth Proportional to 3,767.58, 5,199.12 and 2,089.01

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Solution

The fourth proportional to 3,767.58, 5,199.12 and 2,089.01 is: 2,882.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.58 : 5,199.12 = 2,089.01 : x
  2. Step 2: Convert to fraction form
    3,767.58/5,199.12 = 2,089.01/x
  3. Step 3: Cross multiply
    3,767.58x = 5,199.12 × 2,089.01
  4. Step 4: Simplify right side
    3,767.58x = 10,860,987.68
  5. Step 5: Solve for x
    x = 10,860,987.68/3,767.58
  6. Step 6: Final answer
    x = 2,882.75

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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.