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Finding the Fourth Proportional to 3,767.65, 5,199.36 and 2,089.13

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Solution

The fourth proportional to 3,767.65, 5,199.36 and 2,089.13 is: 2,882.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.65 : 5,199.36 = 2,089.13 : x
  2. Step 2: Convert to fraction form
    3,767.65/5,199.36 = 2,089.13/x
  3. Step 3: Cross multiply
    3,767.65x = 5,199.36 × 2,089.13
  4. Step 4: Simplify right side
    3,767.65x = 10,862,105.13
  5. Step 5: Solve for x
    x = 10,862,105.13/3,767.65
  6. Step 6: Final answer
    x = 2,882.99

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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.