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Finding the Fourth Proportional to 3,767.59, 5,199.29 and 2,089.11

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Solution

The fourth proportional to 3,767.59, 5,199.29 and 2,089.11 is: 2,882.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.59 : 5,199.29 = 2,089.11 : x
  2. Step 2: Convert to fraction form
    3,767.59/5,199.29 = 2,089.11/x
  3. Step 3: Cross multiply
    3,767.59x = 5,199.29 × 2,089.11
  4. Step 4: Simplify right side
    3,767.59x = 10,861,888.73
  5. Step 5: Solve for x
    x = 10,861,888.73/3,767.59
  6. Step 6: Final answer
    x = 2,882.98

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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.